Atkin-Lehner |
2+ 7- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
62608f |
Isogeny class |
Conductor |
62608 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-5607629267968 = -1 · 210 · 73 · 135 · 43 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 3 13- -8 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-131,-113934] |
[a1,a2,a3,a4,a6] |
Generators |
[75:546:1] [146:1726:1] |
Generators of the group modulo torsion |
j |
-242793828/5476200457 |
j-invariant |
L |
9.2341105236086 |
L(r)(E,1)/r! |
Ω |
0.34681813990665 |
Real period |
R |
0.8875074533387 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31304c1 |
Quadratic twists by: -4 |