Atkin-Lehner |
3- 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30525w |
Isogeny class |
Conductor |
30525 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-1006317675 = -1 · 35 · 52 · 112 · 372 |
Discriminant |
Eigenvalues |
-2 3- 5+ -3 11+ 3 -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-26738,1673954] |
[a1,a2,a3,a4,a6] |
Generators |
[746:107:8] [-101:1831:1] |
Generators of the group modulo torsion |
j |
-84564230789263360/40252707 |
j-invariant |
L |
5.0128553456576 |
L(r)(E,1)/r! |
Ω |
1.2754960826457 |
Real period |
R |
0.19650610510927 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91575bk1 30525p1 |
Quadratic twists by: -3 5 |