Atkin-Lehner |
2+ 3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
45450bb |
Isogeny class |
Conductor |
45450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
310622343750000 = 24 · 39 · 510 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -2 2 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-382617,-90995459] |
[a1,a2,a3,a4,a6] |
Generators |
[-355:191:1] |
Generators of the group modulo torsion |
j |
870140865625/43632 |
j-invariant |
L |
3.4360129679764 |
L(r)(E,1)/r! |
Ω |
0.19195955858415 |
Real period |
R |
2.2374588906309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15150u1 45450cn1 |
Quadratic twists by: -3 5 |