Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850go |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
896 |
Product of Tamagawa factors cp |
deg |
10321920 |
Modular degree for the optimal curve |
Δ |
5.197288906656E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-48993813,-131954260383] |
[a1,a2,a3,a4,a6] |
Generators |
[-4068:8109:1] |
Generators of the group modulo torsion |
j |
2426796094451411844127/969756530688000 |
j-invariant |
L |
13.774489007558 |
L(r)(E,1)/r! |
Ω |
0.057065635747492 |
Real period |
R |
1.077588178566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002305 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170q1 80850em1 |
Quadratic twists by: 5 -7 |