Atkin-Lehner |
2- 5+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
69700c |
Isogeny class |
Conductor |
69700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
108906250000 = 24 · 510 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 -4 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2258,-38887] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:25:1] |
Generators of the group modulo torsion |
j |
5095042816/435625 |
j-invariant |
L |
5.6635255219178 |
L(r)(E,1)/r! |
Ω |
0.69632488523545 |
Real period |
R |
1.355575451026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995337 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13940j1 |
Quadratic twists by: 5 |