Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
79200o |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-346420800000000 = -1 · 212 · 39 · 58 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 11- -2 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13500,-1080000] |
[a1,a2,a3,a4,a6] |
Generators |
[23844:3681828:1] |
Generators of the group modulo torsion |
j |
-8640/11 |
j-invariant |
L |
6.5445659271961 |
L(r)(E,1)/r! |
Ω |
0.21135065171987 |
Real period |
R |
7.7413600018927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001228 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79200m1 79200cw1 79200cr1 |
Quadratic twists by: -4 -3 5 |