Atkin-Lehner |
2- 3- 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
122640co |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
486758160 = 24 · 35 · 5 · 73 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 6 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-246,-1125] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:21:1] |
Generators of the group modulo torsion |
j |
103317355264/30422385 |
j-invariant |
L |
9.3768150762319 |
L(r)(E,1)/r! |
Ω |
1.2323565592956 |
Real period |
R |
0.50725660553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000179 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30660d1 |
Quadratic twists by: -4 |