Atkin-Lehner |
2+ 3- 5+ 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
120870d |
Isogeny class |
Conductor |
120870 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1397760 |
Modular degree for the optimal curve |
Δ |
-105975195895152000 = -1 · 27 · 310 · 53 · 175 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -3 -3 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,109440,7122816] |
[a1,a2,a3,a4,a6] |
j |
198848447566755839/145370639088000 |
j-invariant |
L |
0.8530147687905 |
L(r)(E,1)/r! |
Ω |
0.21325337709447 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40290bd1 |
Quadratic twists by: -3 |