Atkin-Lehner |
2- 3- 5- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
120780w |
Isogeny class |
Conductor |
120780 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
5685120 |
Modular degree for the optimal curve |
Δ |
-2.9855895996094E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11+ 2 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46680957,-122760524619] |
[a1,a2,a3,a4,a6] |
Generators |
[8212:218375:1] |
Generators of the group modulo torsion |
j |
-964484946807151601090304/2559661865234375 |
j-invariant |
L |
8.3931510241471 |
L(r)(E,1)/r! |
Ω |
0.028879159684822 |
Real period |
R |
5.3820375847081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999891199 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13420f1 |
Quadratic twists by: -3 |