Atkin-Lehner |
3+ 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
92055j |
Isogeny class |
Conductor |
92055 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
1899557603323194825 = 36 · 52 · 17 · 1910 |
Discriminant |
Eigenvalues |
1 3+ 5- -4 0 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2373582,-1406946249] |
[a1,a2,a3,a4,a6] |
j |
31435119227026801/40376703825 |
j-invariant |
L |
1.9462649405486 |
L(r)(E,1)/r! |
Ω |
0.12164155626095 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4845h1 |
Quadratic twists by: -19 |