Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
91350ey |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-34684453125000 = -1 · 23 · 37 · 510 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 1 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3370,-274003] |
[a1,a2,a3,a4,a6] |
Generators |
[279:4585:1] |
Generators of the group modulo torsion |
j |
371694959/3045000 |
j-invariant |
L |
10.122934531272 |
L(r)(E,1)/r! |
Ω |
0.32412216893211 |
Real period |
R |
2.6026540570967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957306 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30450be1 18270o1 |
Quadratic twists by: -3 5 |