Atkin-Lehner |
2- 3- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31878bo |
Isogeny class |
Conductor |
31878 |
Conductor |
∏ cp |
1120 |
Product of Tamagawa factors cp |
deg |
573440 |
Modular degree for the optimal curve |
Δ |
-1554762583080419328 = -1 · 214 · 36 · 75 · 114 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 0 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1065521,427837537] |
[a1,a2,a3,a4,a6] |
Generators |
[1975:76628:1] |
Generators of the group modulo torsion |
j |
-183519341483677631433/2132733310124032 |
j-invariant |
L |
7.8311146557475 |
L(r)(E,1)/r! |
Ω |
0.26874287048067 |
Real period |
R |
0.10407072968167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3542d1 |
Quadratic twists by: -3 |