Atkin-Lehner |
2+ 3+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
64032m |
Isogeny class |
Conductor |
64032 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3452160 |
Modular degree for the optimal curve |
Δ |
-4.8515725170647E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 3 1 0 -2 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4845144,5300778312] |
[a1,a2,a3,a4,a6] |
Generators |
[78217249599518651:2149688760244964308:62188564013659] |
Generators of the group modulo torsion |
j |
-24568232187014512221896/9475727572392030927 |
j-invariant |
L |
7.0101954515924 |
L(r)(E,1)/r! |
Ω |
0.12864424832425 |
Real period |
R |
27.246439475175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64032v1 128064dj1 |
Quadratic twists by: -4 8 |