Atkin-Lehner |
2- 5- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
7030j |
Isogeny class |
Conductor |
7030 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-102838962392000000 = -1 · 29 · 56 · 193 · 374 |
Discriminant |
Eigenvalues |
2- 1 5- -1 0 -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4695710,3916156100] |
[a1,a2,a3,a4,a6] |
Generators |
[1250:-440:1] |
Generators of the group modulo torsion |
j |
-11450580940464042778633441/102838962392000000 |
j-invariant |
L |
7.0891408470576 |
L(r)(E,1)/r! |
Ω |
0.30243090025885 |
Real period |
R |
0.32556292845141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
56240n1 63270j1 35150f1 |
Quadratic twists by: -4 -3 5 |