Atkin-Lehner |
2- 7- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
125902s |
Isogeny class |
Conductor |
125902 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
197120 |
Modular degree for the optimal curve |
Δ |
493255582148 = 22 · 72 · 17 · 236 |
Discriminant |
Eigenvalues |
2- 2 0 7- 2 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9533,352687] |
[a1,a2,a3,a4,a6] |
Generators |
[30926640:474762287:110592] |
Generators of the group modulo torsion |
j |
647214625/3332 |
j-invariant |
L |
17.317594785504 |
L(r)(E,1)/r! |
Ω |
0.93636439539017 |
Real period |
R |
9.2472518638643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999910195 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
238d1 |
Quadratic twists by: -23 |