Atkin-Lehner |
2- 5+ 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
57350o |
Isogeny class |
Conductor |
57350 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
71712 |
Modular degree for the optimal curve |
Δ |
-1763627200 = -1 · 26 · 52 · 313 · 37 |
Discriminant |
Eigenvalues |
2- -2 5+ -3 4 -1 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10528,414912] |
[a1,a2,a3,a4,a6] |
Generators |
[66:60:1] |
Generators of the group modulo torsion |
j |
-5162070249557545/70545088 |
j-invariant |
L |
6.2776626956056 |
L(r)(E,1)/r! |
Ω |
1.3583503719414 |
Real period |
R |
0.25675189983665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000143 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57350j1 |
Quadratic twists by: 5 |