Atkin-Lehner |
3+ 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
58065a |
Isogeny class |
Conductor |
58065 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
658731457125 = 34 · 53 · 77 · 79 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- -1 3 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2466,27236] |
[a1,a2,a3,a4,a6] |
Generators |
[54:-221:1] [-44:220:1] |
Generators of the group modulo torsion |
j |
14102327296/5599125 |
j-invariant |
L |
4.4092745275531 |
L(r)(E,1)/r! |
Ω |
0.82637550877694 |
Real period |
R |
0.66695988698858 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8295g1 |
Quadratic twists by: -7 |