Atkin-Lehner |
2+ 7+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
62678a |
Isogeny class |
Conductor |
62678 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11975040 |
Modular degree for the optimal curve |
Δ |
4.1967565257562E+22 |
Discriminant |
Eigenvalues |
2+ -2 -2 7+ 11+ -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-116311737,482707659740] |
[a1,a2,a3,a4,a6] |
j |
73800646267486411547/17798344474624 |
j-invariant |
L |
0.4459605558788 |
L(r)(E,1)/r! |
Ω |
0.11149013979213 |
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 |
62678i1 |
Quadratic twists by: -11 |