Atkin-Lehner |
2- 7+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
62608n |
Isogeny class |
Conductor |
62608 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
-1001728 = -1 · 28 · 7 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 0 0 7+ -1 13- 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,25,2] |
[a1,a2,a3,a4,a6] |
Generators |
[2:23:8] |
Generators of the group modulo torsion |
j |
6750000/3913 |
j-invariant |
L |
5.0450720539548 |
L(r)(E,1)/r! |
Ω |
1.6672236305223 |
Real period |
R |
3.0260319981673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997892 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15652c1 |
Quadratic twists by: -4 |