Atkin-Lehner |
2+ 7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
42826l |
Isogeny class |
Conductor |
42826 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
37119906586 = 2 · 76 · 193 · 23 |
Discriminant |
Eigenvalues |
2+ -3 -1 7- -1 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-940,6334] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:41:1] [-11:129:1] |
Generators of the group modulo torsion |
j |
781229961/315514 |
j-invariant |
L |
4.1655654954728 |
L(r)(E,1)/r! |
Ω |
1.0485924918485 |
Real period |
R |
0.6620883911616 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
874a1 |
Quadratic twists by: -7 |