Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62475bx |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-3348899005921875 = -1 · 37 · 56 · 78 · 17 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- -3 1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-51858,-5347681] |
[a1,a2,a3,a4,a6] |
Generators |
[12826:508175:8] |
Generators of the group modulo torsion |
j |
-8390176768/1821771 |
j-invariant |
L |
15.108595384592 |
L(r)(E,1)/r! |
Ω |
0.15637059034674 |
Real period |
R |
6.9014600653182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994948 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2499g1 8925g1 |
Quadratic twists by: 5 -7 |