Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850cb |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-232945020000000 = -1 · 28 · 32 · 57 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,6099,-710552] |
[a1,a2,a3,a4,a6] |
Generators |
[116:1191:1] |
Generators of the group modulo torsion |
j |
13651919/126720 |
j-invariant |
L |
5.9936970749441 |
L(r)(E,1)/r! |
Ω |
0.27566672460192 |
Real period |
R |
2.7178185371636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002212 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170bj1 1650a1 |
Quadratic twists by: 5 -7 |