Atkin-Lehner |
2+ 3+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
122544d |
Isogeny class |
Conductor |
122544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-23528448 = -1 · 210 · 33 · 23 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 0 3 4 0 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,-342] |
[a1,a2,a3,a4,a6] |
j |
-1687500/851 |
j-invariant |
L |
3.1689622211477 |
L(r)(E,1)/r! |
Ω |
0.79224092067163 |
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 |
61272h1 122544a1 |
Quadratic twists by: -4 -3 |