Atkin-Lehner |
2- 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
81466z |
Isogeny class |
Conductor |
81466 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
836352 |
Modular degree for the optimal curve |
Δ |
-64968209796503552 = -1 · 211 · 7 · 113 · 237 |
Discriminant |
Eigenvalues |
2- -1 2 7+ 11+ -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,16388,12243549] |
[a1,a2,a3,a4,a6] |
Generators |
[-171:2201:1] |
Generators of the group modulo torsion |
j |
3288008303/438867968 |
j-invariant |
L |
7.5484090964435 |
L(r)(E,1)/r! |
Ω |
0.26826454486008 |
Real period |
R |
1.2789968359265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009224 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3542s1 |
Quadratic twists by: -23 |