Atkin-Lehner |
2+ 3+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
60270b |
Isogeny class |
Conductor |
60270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16128000 |
Modular degree for the optimal curve |
Δ |
1.3827582154291E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-254920173,1556230971933] |
[a1,a2,a3,a4,a6] |
Generators |
[78036933195641134:-836966547566327959:7747112476403] |
Generators of the group modulo torsion |
j |
15572132426082985286796361/117532509025075200000 |
j-invariant |
L |
3.0827375346713 |
L(r)(E,1)/r! |
Ω |
0.070921809852206 |
Real period |
R |
21.733353541265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000203 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8610h1 |
Quadratic twists by: -7 |