Atkin-Lehner |
2+ 3+ 5+ 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
80370a |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2036736 |
Modular degree for the optimal curve |
Δ |
2801471783436288000 = 226 · 39 · 53 · 192 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1266720,-542485504] |
[a1,a2,a3,a4,a6] |
j |
11420220657841455123/142329511936000 |
j-invariant |
L |
1.1393226613079 |
L(r)(E,1)/r! |
Ω |
0.14241532643506 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80370bg1 |
Quadratic twists by: -3 |