Atkin-Lehner |
3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
62475z |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2845440 |
Modular degree for the optimal curve |
Δ |
2.1797744422474E+20 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- 1 4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1541458,-194517807] |
[a1,a2,a3,a4,a6] |
Generators |
[-162739770112284142867014:2593112086047493511100297:155944835274529364552] |
Generators of the group modulo torsion |
j |
352558182400/189724437 |
j-invariant |
L |
11.064208971255 |
L(r)(E,1)/r! |
Ω |
0.14424781220452 |
Real period |
R |
38.35139265602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62475cp1 8925s1 |
Quadratic twists by: 5 -7 |