Atkin-Lehner |
3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
62475s |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
-53767546875 = -1 · 35 · 56 · 72 · 172 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 4 1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1633,28293] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:212:1] |
Generators of the group modulo torsion |
j |
-629407744/70227 |
j-invariant |
L |
4.8732059542957 |
L(r)(E,1)/r! |
Ω |
1.0901847069943 |
Real period |
R |
1.1175184175523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997861 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2499l1 62475bn1 |
Quadratic twists by: 5 -7 |