Atkin-Lehner |
2+ 31+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
60512a |
Isogeny class |
Conductor |
60512 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
37376 |
Modular degree for the optimal curve |
Δ |
-230747262976 = -1 · 212 · 314 · 61 |
Discriminant |
Eigenvalues |
2+ 0 1 1 -5 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-812,-24768] |
[a1,a2,a3,a4,a6] |
Generators |
[62:404:1] [101:961:1] |
Generators of the group modulo torsion |
j |
-14455457856/56334781 |
j-invariant |
L |
10.266282922079 |
L(r)(E,1)/r! |
Ω |
0.40855064418926 |
Real period |
R |
3.1410680254988 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60512c1 121024o1 |
Quadratic twists by: -4 8 |