Atkin-Lehner |
2+ 3- 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104370be |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-230231739937500 = -1 · 22 · 32 · 56 · 78 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8699,-794734] |
[a1,a2,a3,a4,a6] |
Generators |
[11981:1305396:1] |
Generators of the group modulo torsion |
j |
-618688004761/1956937500 |
j-invariant |
L |
6.4776953250436 |
L(r)(E,1)/r! |
Ω |
0.22795873843468 |
Real period |
R |
7.104021721002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001191 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14910h1 |
Quadratic twists by: -7 |