Atkin-Lehner |
2+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
80800a |
Isogeny class |
Conductor |
80800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-1331973132800 = -1 · 29 · 52 · 1014 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 -5 4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5928,-186232] |
[a1,a2,a3,a4,a6] |
Generators |
[8123130:3692762:91125] |
Generators of the group modulo torsion |
j |
-1800161987720/104060401 |
j-invariant |
L |
7.8150598176958 |
L(r)(E,1)/r! |
Ω |
0.27113300186195 |
Real period |
R |
7.2059282376911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000701 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80800f1 80800j1 |
Quadratic twists by: -4 5 |