Atkin-Lehner |
2+ 3- 7+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
79254n |
Isogeny class |
Conductor |
79254 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
14025568729662 = 2 · 316 · 7 · 17 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -2 2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9738,-320594] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:200:1] [117:304:1] |
Generators of the group modulo torsion |
j |
140097562913953/19239463278 |
j-invariant |
L |
6.9334366257854 |
L(r)(E,1)/r! |
Ω |
0.48497330494347 |
Real period |
R |
7.148266260327 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26418l2 |
Quadratic twists by: -3 |