Atkin-Lehner |
2- 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
31950bp |
Isogeny class |
Conductor |
31950 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
422400 |
Modular degree for the optimal curve |
Δ |
392601600000000000 = 222 · 33 · 511 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-397880,91874747] |
[a1,a2,a3,a4,a6] |
Generators |
[489:3505:1] |
Generators of the group modulo torsion |
j |
16511830677985707/930611200000 |
j-invariant |
L |
9.3228421038635 |
L(r)(E,1)/r! |
Ω |
0.29571589128234 |
Real period |
R |
0.71650790956481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31950a1 6390b1 |
Quadratic twists by: -3 5 |