Atkin-Lehner |
3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62475cp |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
569088 |
Modular degree for the optimal curve |
Δ |
13950556430383125 = 313 · 54 · 77 · 17 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- 1 -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-61658,-1580806] |
[a1,a2,a3,a4,a6] |
Generators |
[-173:-1985:1] [-227:877:1] |
Generators of the group modulo torsion |
j |
352558182400/189724437 |
j-invariant |
L |
6.4074570734573 |
L(r)(E,1)/r! |
Ω |
0.32254791369492 |
Real period |
R |
0.127340593551 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62475z1 8925n1 |
Quadratic twists by: 5 -7 |