Atkin-Lehner |
2+ 5+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
33550f |
Isogeny class |
Conductor |
33550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1996800 |
Modular degree for the optimal curve |
Δ |
33550000000000000 = 213 · 514 · 11 · 61 |
Discriminant |
Eigenvalues |
2+ -1 5+ 0 11- 1 5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-40076025,-97667334875] |
[a1,a2,a3,a4,a6] |
Generators |
[-639717035855538832370:316411359637509398885:175008944021293864] |
Generators of the group modulo torsion |
j |
455572624814874647288209/2147200000000 |
j-invariant |
L |
3.483603785651 |
L(r)(E,1)/r! |
Ω |
0.060003750101718 |
Real period |
R |
29.028217234303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6710g1 |
Quadratic twists by: 5 |