Atkin-Lehner |
2+ 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
40920q |
Isogeny class |
Conductor |
40920 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-7426980000000000 = -1 · 211 · 32 · 510 · 113 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11- -2 -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6104,4144304] |
[a1,a2,a3,a4,a6] |
j |
12279090028462/3626455078125 |
j-invariant |
L |
3.8860799437321 |
L(r)(E,1)/r! |
Ω |
0.3238399953247 |
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 |
81840b1 122760bx1 |
Quadratic twists by: -4 -3 |