Atkin-Lehner |
2+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
7600a |
Isogeny class |
Conductor |
7600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-608000000 = -1 · 211 · 56 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5+ 3 -2 -1 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,1588] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:50:1] |
Generators of the group modulo torsion |
j |
-31250/19 |
j-invariant |
L |
5.2017897807827 |
L(r)(E,1)/r! |
Ω |
1.5069963703154 |
Real period |
R |
0.86293999827188 |
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 |
3800g1 30400bs1 68400bm1 304c1 |
Quadratic twists by: -4 8 -3 5 |