Atkin-Lehner |
2- 3+ 11+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31746v |
Isogeny class |
Conductor |
31746 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-32629837408987104 = -1 · 25 · 316 · 113 · 13 · 372 |
Discriminant |
Eigenvalues |
2- 3+ -1 3 11+ 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,14189,-8660623] |
[a1,a2,a3,a4,a6] |
j |
315920032392120911/32629837408987104 |
j-invariant |
L |
3.5043754585576 |
L(r)(E,1)/r! |
Ω |
0.17521877292803 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95238bg1 |
Quadratic twists by: -3 |