Atkin-Lehner |
2- 3+ 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
96720be |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11354112 |
Modular degree for the optimal curve |
Δ |
-2.9402200527251E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21009496,-45319243280] |
[a1,a2,a3,a4,a6] |
Generators |
[249675740261286681902549171461112167173284590635295801044:-26668494082445410448296874667787980111022912642197852520448:18838944197901871321852323130656530077820222480387839] |
Generators of the group modulo torsion |
j |
-250386371942892200094169/71782716130983936000 |
j-invariant |
L |
5.6225070757671 |
L(r)(E,1)/r! |
Ω |
0.0347431962298 |
Real period |
R |
80.915224871647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007789 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12090h1 |
Quadratic twists by: -4 |