Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950ic |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
312 |
Product of Tamagawa factors cp |
deg |
2156544 |
Modular degree for the optimal curve |
Δ |
-102420941117644800 = -1 · 213 · 36 · 52 · 79 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 6 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-601133,-180102063] |
[a1,a2,a3,a4,a6] |
Generators |
[1138:24127:1] |
Generators of the group modulo torsion |
j |
-8167839927844585/34822545408 |
j-invariant |
L |
15.492718413052 |
L(r)(E,1)/r! |
Ω |
0.085706965282284 |
Real period |
R |
0.57937121619726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009588 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950bq1 17850bj1 |
Quadratic twists by: 5 -7 |