Atkin-Lehner |
2+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
88088h |
Isogeny class |
Conductor |
88088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6825984 |
Modular degree for the optimal curve |
Δ |
3.1101010985672E+19 |
Discriminant |
Eigenvalues |
2+ 3 4 7+ 11- 13- -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1727638,-831828415] |
[a1,a2,a3,a4,a6] |
Generators |
[-3190709120959021800:22776293840627607607:3901405626140625] |
Generators of the group modulo torsion |
j |
1374153099264/74942413 |
j-invariant |
L |
15.997268581874 |
L(r)(E,1)/r! |
Ω |
0.13213237850013 |
Real period |
R |
30.26750286997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88088be1 |
Quadratic twists by: -11 |