Atkin-Lehner |
2- 3- 5- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
120780v |
Isogeny class |
Conductor |
120780 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-15062653520640 = -1 · 28 · 313 · 5 · 112 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11+ 2 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-96672,11570596] |
[a1,a2,a3,a4,a6] |
Generators |
[200:486:1] |
Generators of the group modulo torsion |
j |
-535375298166784/80711235 |
j-invariant |
L |
7.5689250174535 |
L(r)(E,1)/r! |
Ω |
0.67686730659507 |
Real period |
R |
0.46592865788622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999469 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40260j1 |
Quadratic twists by: -3 |