Atkin-Lehner |
2- 5+ 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
123970w |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
1397088 |
Modular degree for the optimal curve |
Δ |
-109535924960000000 = -1 · 211 · 57 · 76 · 11 · 232 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 11+ 4 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-312376,-69086144] |
[a1,a2,a3,a4,a6] |
Generators |
[1098:29650:1] |
Generators of the group modulo torsion |
j |
-28652896908918001/931040000000 |
j-invariant |
L |
11.223939140799 |
L(r)(E,1)/r! |
Ω |
0.10077906429366 |
Real period |
R |
5.0623515220208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004586 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2530k1 |
Quadratic twists by: -7 |