Atkin-Lehner |
2- 3- 5+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
30090g |
Isogeny class |
Conductor |
30090 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13568 |
Modular degree for the optimal curve |
Δ |
30090000 = 24 · 3 · 54 · 17 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-96,240] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:20:1] |
Generators of the group modulo torsion |
j |
97908438529/30090000 |
j-invariant |
L |
8.641397041496 |
L(r)(E,1)/r! |
Ω |
1.9370791321403 |
Real period |
R |
2.2305224650135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90270n1 |
Quadratic twists by: -3 |