Atkin-Lehner |
2+ 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
3600v |
Isogeny class |
Conductor |
3600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
22781250000 = 24 · 36 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-750,-3125] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:58:1] |
Generators of the group modulo torsion |
j |
2048 |
j-invariant |
L |
3.3283208838799 |
L(r)(E,1)/r! |
Ω |
0.95846404214115 |
Real period |
R |
3.4725568592481 |
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 |
1800w1 14400ex1 400f1 3600s1 |
Quadratic twists by: -4 8 -3 5 |