Atkin-Lehner |
2- 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920dq |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
-2645497260000000 = -1 · 28 · 36 · 57 · 73 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 5 1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,26952,1795372] |
[a1,a2,a3,a4,a6] |
j |
11601902526464/14175546875 |
j-invariant |
L |
3.6591919793429 |
L(r)(E,1)/r! |
Ω |
0.30493258454065 |
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 |
28980b1 12880z1 |
Quadratic twists by: -4 -3 |