Atkin-Lehner |
2- 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
57820j |
Isogeny class |
Conductor |
57820 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
-136049303600 = -1 · 24 · 52 · 78 · 59 |
Discriminant |
Eigenvalues |
2- -3 5- 7+ 0 2 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1372,-26411] |
[a1,a2,a3,a4,a6] |
Generators |
[443:9290:1] |
Generators of the group modulo torsion |
j |
-3096576/1475 |
j-invariant |
L |
4.0945416485631 |
L(r)(E,1)/r! |
Ω |
0.38348089437373 |
Real period |
R |
5.33865142788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998462 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57820i1 |
Quadratic twists by: -7 |