Atkin-Lehner |
2- 3+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
31434m |
Isogeny class |
Conductor |
31434 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
98736 |
Modular degree for the optimal curve |
Δ |
-53013393503226 = -1 · 2 · 311 · 136 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 1 -2 -3 13+ 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14115,-740277] |
[a1,a2,a3,a4,a6] |
j |
-64432972729/10983114 |
j-invariant |
L |
1.9528273477232 |
L(r)(E,1)/r! |
Ω |
0.21698081641309 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94302o1 186a1 |
Quadratic twists by: -3 13 |