Atkin-Lehner |
2- 7- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
114268i |
Isogeny class |
Conductor |
114268 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-930620531456 = -1 · 28 · 76 · 11 · 532 |
Discriminant |
Eigenvalues |
2- -3 1 7- 11- -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1568,-39788] |
[a1,a2,a3,a4,a6] |
Generators |
[21:49:1] |
Generators of the group modulo torsion |
j |
14155776/30899 |
j-invariant |
L |
3.7303512427089 |
L(r)(E,1)/r! |
Ω |
0.45876193165185 |
Real period |
R |
2.0328360931127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999771524 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2332b1 |
Quadratic twists by: -7 |