Atkin-Lehner |
2+ 3+ 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
108150q |
Isogeny class |
Conductor |
108150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
84097440000000000 = 214 · 36 · 510 · 7 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 4 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-205900,-33230000] |
[a1,a2,a3,a4,a6] |
Generators |
[22615:3389005:1] |
Generators of the group modulo torsion |
j |
61783999976196289/5382236160000 |
j-invariant |
L |
4.6614689546035 |
L(r)(E,1)/r! |
Ω |
0.22536780200718 |
Real period |
R |
5.1709570739178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000074041 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21630w1 |
Quadratic twists by: 5 |