Atkin-Lehner |
2+ 3- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
61446bg |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
220 |
Product of Tamagawa factors cp |
deg |
4181760 |
Modular degree for the optimal curve |
Δ |
-4.4798465799593E+22 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,7077289,7154853626] |
[a1,a2,a3,a4,a6] |
Generators |
[-612:51241:1] |
Generators of the group modulo torsion |
j |
333224059751580926375/380780676415383552 |
j-invariant |
L |
5.548761555324 |
L(r)(E,1)/r! |
Ω |
0.075786681257268 |
Real period |
R |
0.33279783486342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997574 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8778e1 |
Quadratic twists by: -7 |