Atkin-Lehner |
2+ 3- 7- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
42126l |
Isogeny class |
Conductor |
42126 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
-357902496 = -1 · 25 · 33 · 7 · 17 · 592 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -3 1 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-60,922] |
[a1,a2,a3,a4,a6] |
Generators |
[20:78:1] |
Generators of the group modulo torsion |
j |
-23320116793/357902496 |
j-invariant |
L |
4.2845571235104 |
L(r)(E,1)/r! |
Ω |
1.43807896779 |
Real period |
R |
0.49656025149676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126378bl1 |
Quadratic twists by: -3 |