Atkin-Lehner |
2+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
33088o |
Isogeny class |
Conductor |
33088 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-5828799021056 = -1 · 214 · 115 · 472 |
Discriminant |
Eigenvalues |
2+ -1 1 4 11- 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2475,105229] |
[a1,a2,a3,a4,a6] |
Generators |
[316:5687:1] |
Generators of the group modulo torsion |
j |
102294880256/355761659 |
j-invariant |
L |
5.6863552701634 |
L(r)(E,1)/r! |
Ω |
0.53765849496125 |
Real period |
R |
1.0576146984478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33088w1 2068b1 |
Quadratic twists by: -4 8 |