Atkin-Lehner |
2+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
80408h |
Isogeny class |
Conductor |
80408 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
3179520 |
Modular degree for the optimal curve |
Δ |
1.9855949039954E+20 |
Discriminant |
Eigenvalues |
2+ 1 3 4 -4 -2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2916024,-1793674912] |
[a1,a2,a3,a4,a6] |
Generators |
[-27127876:211082476:24389] |
Generators of the group modulo torsion |
j |
34195936228/2476099 |
j-invariant |
L |
10.659879044495 |
L(r)(E,1)/r! |
Ω |
0.11605973076379 |
Real period |
R |
9.1848214484124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000312 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80408e1 |
Quadratic twists by: -23 |