Atkin-Lehner |
2+ 3+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
15150c |
Isogeny class |
Conductor |
15150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-589032000000 = -1 · 29 · 36 · 56 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 5 -2 2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3000,72000] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:345:1] |
Generators of the group modulo torsion |
j |
-191202526081/37698048 |
j-invariant |
L |
3.4346683747151 |
L(r)(E,1)/r! |
Ω |
0.8799815013243 |
Real period |
R |
0.97577857305697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121200dd1 45450ch1 606e1 |
Quadratic twists by: -4 -3 5 |