Atkin-Lehner |
2- 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
12300d |
Isogeny class |
Conductor |
12300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
4151250000 = 24 · 34 · 57 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -2 -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1633,25762] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:136:1] [-23:225:1] |
Generators of the group modulo torsion |
j |
1927561216/16605 |
j-invariant |
L |
5.1334807179249 |
L(r)(E,1)/r! |
Ω |
1.3938369738401 |
Real period |
R |
0.61383083941098 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49200dc1 36900m1 2460c1 |
Quadratic twists by: -4 -3 5 |