Atkin-Lehner |
2+ 3+ 7+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
36498k |
Isogeny class |
Conductor |
36498 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-29095826896752 = -1 · 24 · 3 · 78 · 113 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11- -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3371,249757] |
[a1,a2,a3,a4,a6] |
Generators |
[54:743:1] |
Generators of the group modulo torsion |
j |
4234466031035687/29095826896752 |
j-invariant |
L |
3.6496486741774 |
L(r)(E,1)/r! |
Ω |
0.48194307758511 |
Real period |
R |
2.5242598444505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109494bm1 |
Quadratic twists by: -3 |