Atkin-Lehner |
2- 5+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
79430l |
Isogeny class |
Conductor |
79430 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
733824 |
Modular degree for the optimal curve |
Δ |
-6775328851710640 = -1 · 24 · 5 · 138 · 473 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 4 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-40141,5009779] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:2708:1] |
Generators of the group modulo torsion |
j |
-8768839729/8305840 |
j-invariant |
L |
11.885632179715 |
L(r)(E,1)/r! |
Ω |
0.38410576867385 |
Real period |
R |
2.5786370034829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995551 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79430e1 |
Quadratic twists by: 13 |