Atkin-Lehner |
2- 5+ 37- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
98050o |
Isogeny class |
Conductor |
98050 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
612864 |
Modular degree for the optimal curve |
Δ |
3436299520000000 = 214 · 57 · 373 · 53 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 1 1 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-79588,8135781] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:3737:1] |
Generators of the group modulo torsion |
j |
3568180380811129/219923169280 |
j-invariant |
L |
5.3955337563034 |
L(r)(E,1)/r! |
Ω |
0.43807759649061 |
Real period |
R |
0.14662366952034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977884 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19610a1 |
Quadratic twists by: 5 |