Atkin-Lehner |
2+ 3- 5+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
64170g |
Isogeny class |
Conductor |
64170 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-1280797059456000 = -1 · 210 · 39 · 53 · 232 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-67815,-6995075] |
[a1,a2,a3,a4,a6] |
Generators |
[16366:725587:8] |
Generators of the group modulo torsion |
j |
-47312629371984241/1756923264000 |
j-invariant |
L |
3.6991391257138 |
L(r)(E,1)/r! |
Ω |
0.14760197095195 |
Real period |
R |
6.2653958848166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000381 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21390n1 |
Quadratic twists by: -3 |