Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
62496t |
Isogeny class |
Conductor |
62496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-1943875584 = -1 · 212 · 37 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -4 5 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,312,-16] |
[a1,a2,a3,a4,a6] |
Generators |
[4:36:1] [25:153:1] |
Generators of the group modulo torsion |
j |
1124864/651 |
j-invariant |
L |
9.9542551243198 |
L(r)(E,1)/r! |
Ω |
0.881423308481 |
Real period |
R |
1.4116734587894 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62496bf1 124992de1 20832ba1 |
Quadratic twists by: -4 8 -3 |