Atkin-Lehner |
2- 3+ 11- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
26598h |
Isogeny class |
Conductor |
26598 |
Conductor |
∏ cp |
540 |
Product of Tamagawa factors cp |
deg |
466560 |
Modular degree for the optimal curve |
Δ |
-33627160114149888 = -1 · 29 · 34 · 115 · 132 · 313 |
Discriminant |
Eigenvalues |
2- 3+ -4 -3 11- 13+ -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-158115,25691841] |
[a1,a2,a3,a4,a6] |
Generators |
[-353:6314:1] [241:1166:1] |
Generators of the group modulo torsion |
j |
-437162701384561667761/33627160114149888 |
j-invariant |
L |
7.7177139015186 |
L(r)(E,1)/r! |
Ω |
0.36143884570671 |
Real period |
R |
0.039542132646662 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79794f1 |
Quadratic twists by: -3 |