Atkin-Lehner |
2- 3+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
128316c |
Isogeny class |
Conductor |
128316 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
48107520 |
Modular degree for the optimal curve |
Δ |
-1.3812074614928E+25 |
Discriminant |
Eigenvalues |
2- 3+ -1 -5 -5 0 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-672959716,-6721573246328] |
[a1,a2,a3,a4,a6] |
Generators |
[31354:1732266:1] |
Generators of the group modulo torsion |
j |
-5454531100825187584336/2235246493321701 |
j-invariant |
L |
1.6897303502164 |
L(r)(E,1)/r! |
Ω |
0.014820457710269 |
Real period |
R |
1.9002228685859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999430597 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7548g1 |
Quadratic twists by: 17 |