Atkin-Lehner |
2- 3- 5+ 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
124830cf |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
276 |
Product of Tamagawa factors cp |
deg |
632459520 |
Modular degree for the optimal curve |
Δ |
9.4564905351156E+30 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -4 -3 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-77283724028,-8268174622208833] |
[a1,a2,a3,a4,a6] |
Generators |
[-350524551:2241503785:2197] [-158859:243589:1] |
Generators of the group modulo torsion |
j |
70026159212299439838313575776747641/12971866303313582511787868160 |
j-invariant |
L |
16.656926560967 |
L(r)(E,1)/r! |
Ω |
0.0090548731780808 |
Real period |
R |
6.665050080615 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999977437 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41610u1 |
Quadratic twists by: -3 |