Atkin-Lehner |
2+ 3- 7+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
107226l |
Isogeny class |
Conductor |
107226 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
534528 |
Modular degree for the optimal curve |
Δ |
-549847406739456 = -1 · 218 · 37 · 72 · 232 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 2 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-34308,2702160] |
[a1,a2,a3,a4,a6] |
j |
-6126176549408833/754248843264 |
j-invariant |
L |
2.0155409222284 |
L(r)(E,1)/r! |
Ω |
0.50388537027827 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35742n1 |
Quadratic twists by: -3 |