Atkin-Lehner |
2- 3+ 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
7878c |
Isogeny class |
Conductor |
7878 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
720720 |
Modular degree for the optimal curve |
Δ |
-8.7959350507946E+22 |
Discriminant |
Eigenvalues |
2- 3+ 1 0 0 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,9348650,9090462419] |
[a1,a2,a3,a4,a6] |
Generators |
[7919371:1000013157:6859] |
Generators of the group modulo torsion |
j |
90358790993289520397085599/87959350507945665355776 |
j-invariant |
L |
5.732393300598 |
L(r)(E,1)/r! |
Ω |
0.070682937576744 |
Real period |
R |
3.1192346125715 |
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 |
63024q1 23634a1 102414d1 |
Quadratic twists by: -4 -3 13 |