Atkin-Lehner |
2- 3+ 7+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
126378ba |
Isogeny class |
Conductor |
126378 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
250449220343952 = 24 · 33 · 76 · 174 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -4 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-309356,-66145313] |
[a1,a2,a3,a4,a6] |
Generators |
[5630:61339:8] |
Generators of the group modulo torsion |
j |
121264662600363346371/9275897049776 |
j-invariant |
L |
7.9935335731787 |
L(r)(E,1)/r! |
Ω |
0.20243566178803 |
Real period |
R |
4.9358482017064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999944919 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126378b1 |
Quadratic twists by: -3 |