Atkin-Lehner |
3- 5- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
19215q |
Isogeny class |
Conductor |
19215 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
32400 |
Modular degree for the optimal curve |
Δ |
-116303110875 = -1 · 36 · 53 · 73 · 612 |
Discriminant |
Eigenvalues |
-2 3- 5- 7+ 5 1 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3657,-86688] |
[a1,a2,a3,a4,a6] |
Generators |
[72:152:1] |
Generators of the group modulo torsion |
j |
-7419438936064/159537875 |
j-invariant |
L |
2.8418595132751 |
L(r)(E,1)/r! |
Ω |
0.30657411494469 |
Real period |
R |
1.5449551319686 |
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 |
2135a1 96075bh1 |
Quadratic twists by: -3 5 |