Atkin-Lehner |
2- 3- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
128100v |
Isogeny class |
Conductor |
128100 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
54052347431250000 = 24 · 310 · 58 · 74 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1230633,524932488] |
[a1,a2,a3,a4,a6] |
Generators |
[603:1575:1] |
Generators of the group modulo torsion |
j |
824460259156934656/216209389725 |
j-invariant |
L |
7.962707873092 |
L(r)(E,1)/r! |
Ω |
0.34571308540488 |
Real period |
R |
0.19193921680544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013628 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25620e1 |
Quadratic twists by: 5 |