Atkin-Lehner |
2+ 3- 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104370bj |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2396160 |
Modular degree for the optimal curve |
Δ |
1.1562978010254E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -3 3 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-571954,-30916798] |
[a1,a2,a3,a4,a6] |
Generators |
[-542:11222:1] |
Generators of the group modulo torsion |
j |
175880497476668041/98283691406250 |
j-invariant |
L |
6.0802914866458 |
L(r)(E,1)/r! |
Ω |
0.1864330407855 |
Real period |
R |
4.0767260575639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006179 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910l1 |
Quadratic twists by: -7 |