Atkin-Lehner |
2+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
129430g |
Isogeny class |
Conductor |
129430 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
822528 |
Modular degree for the optimal curve |
Δ |
-8189612811087680 = -1 · 26 · 5 · 712 · 432 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -2 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25193,4607557] |
[a1,a2,a3,a4,a6] |
Generators |
[-198:1471:1] |
Generators of the group modulo torsion |
j |
-956430453965281/4429211904320 |
j-invariant |
L |
3.3354061247898 |
L(r)(E,1)/r! |
Ω |
0.36016634499934 |
Real period |
R |
0.38586407918654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009528 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129430o1 |
Quadratic twists by: -43 |