Atkin-Lehner |
2- 5+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
62530o |
Isogeny class |
Conductor |
62530 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
103488 |
Modular degree for the optimal curve |
Δ |
-1828781393920 = -1 · 211 · 5 · 136 · 37 |
Discriminant |
Eigenvalues |
2- 2 5+ -1 -3 13+ 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2109,-52447] |
[a1,a2,a3,a4,a6] |
Generators |
[57:478:1] |
Generators of the group modulo torsion |
j |
214921799/378880 |
j-invariant |
L |
12.501038901734 |
L(r)(E,1)/r! |
Ω |
0.43819311382672 |
Real period |
R |
1.2967548394837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000082 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
370b1 |
Quadratic twists by: 13 |