Atkin-Lehner |
3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
19425v |
Isogeny class |
Conductor |
19425 |
Conductor |
∏ cp |
130 |
Product of Tamagawa factors cp |
deg |
3057600 |
Modular degree for the optimal curve |
Δ |
-3.3075682733492E+21 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 1 1 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-63298758,193837532519] |
[a1,a2,a3,a4,a6] |
Generators |
[36282:64823:8] |
Generators of the group modulo torsion |
j |
-1795102530323910983888896/211684369494348891 |
j-invariant |
L |
12.53833377399 |
L(r)(E,1)/r! |
Ω |
0.13589981804271 |
Real period |
R |
0.70970456566816 |
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 |
58275v1 777b1 |
Quadratic twists by: -3 5 |