Atkin-Lehner |
2+ 7- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
68894i |
Isogeny class |
Conductor |
68894 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
129684963296 = 25 · 78 · 19 · 37 |
Discriminant |
Eigenvalues |
2+ -2 3 7- 1 0 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6347,193302] |
[a1,a2,a3,a4,a6] |
Generators |
[60:141:1] |
Generators of the group modulo torsion |
j |
240293820313/1102304 |
j-invariant |
L |
3.8126040938675 |
L(r)(E,1)/r! |
Ω |
1.0464412298441 |
Real period |
R |
1.8217000558809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000266 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9842b1 |
Quadratic twists by: -7 |