Atkin-Lehner |
2- 3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710bz |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
7464960 |
Modular degree for the optimal curve |
Δ |
-9.9700243430142E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 3 13- 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6269861,6059208683] |
[a1,a2,a3,a4,a6] |
Generators |
[2279:58972:1] |
Generators of the group modulo torsion |
j |
-1129285954562528881/4130500608000 |
j-invariant |
L |
11.167322906186 |
L(r)(E,1)/r! |
Ω |
0.19009182462044 |
Real period |
R |
0.65274435575077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002332 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6630z1 |
Quadratic twists by: 17 |