Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
60760z |
Isogeny class |
Conductor |
60760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-1143736518400 = -1 · 28 · 52 · 78 · 31 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -2 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1780,-58428] |
[a1,a2,a3,a4,a6] |
Generators |
[72:426:1] |
Generators of the group modulo torsion |
j |
-20720464/37975 |
j-invariant |
L |
10.378407729187 |
L(r)(E,1)/r! |
Ω |
0.34641944113878 |
Real period |
R |
3.7448849923016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998942 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121520u1 8680l1 |
Quadratic twists by: -4 -7 |