Atkin-Lehner |
2+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88088j |
Isogeny class |
Conductor |
88088 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-6974678174464 = -1 · 28 · 7 · 116 · 133 |
Discriminant |
Eigenvalues |
2+ 0 -1 7- 11- 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8228,314116] |
[a1,a2,a3,a4,a6] |
Generators |
[66:242:1] |
Generators of the group modulo torsion |
j |
-135834624/15379 |
j-invariant |
L |
5.8958483295403 |
L(r)(E,1)/r! |
Ω |
0.72655171376741 |
Real period |
R |
1.0143545545033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
728c1 |
Quadratic twists by: -11 |