Atkin-Lehner |
5- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
76705j |
Isogeny class |
Conductor |
76705 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
50336 |
Modular degree for the optimal curve |
Δ |
21465203905 = 5 · 236 · 29 |
Discriminant |
Eigenvalues |
-1 0 5- 2 6 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1422,-19036] |
[a1,a2,a3,a4,a6] |
Generators |
[39864280:-120955908:857375] |
Generators of the group modulo torsion |
j |
2146689/145 |
j-invariant |
L |
5.2013653550995 |
L(r)(E,1)/r! |
Ω |
0.78079873574279 |
Real period |
R |
13.323191032955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957778 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
145a1 |
Quadratic twists by: -23 |