Atkin-Lehner |
2+ 5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
62530d |
Isogeny class |
Conductor |
62530 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
142272 |
Modular degree for the optimal curve |
Δ |
-15091018338500 = -1 · 22 · 53 · 138 · 37 |
Discriminant |
Eigenvalues |
2+ 1 5- -1 0 13+ 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6088,260938] |
[a1,a2,a3,a4,a6] |
Generators |
[23:353:1] |
Generators of the group modulo torsion |
j |
-30584281/18500 |
j-invariant |
L |
5.32118101133 |
L(r)(E,1)/r! |
Ω |
0.64856204731598 |
Real period |
R |
4.1022913950362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992994 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
62530l1 |
Quadratic twists by: 13 |