Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11858j |
Isogeny class |
Conductor |
11858 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
133056 |
Modular degree for the optimal curve |
Δ |
484408626286690952 = 23 · 710 · 118 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 11- -2 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-199733,7739661] |
[a1,a2,a3,a4,a6] |
Generators |
[-151:5944:1] |
Generators of the group modulo torsion |
j |
14553/8 |
j-invariant |
L |
2.3711490278652 |
L(r)(E,1)/r! |
Ω |
0.25640593429786 |
Real period |
R |
3.0825456963497 |
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 |
94864cb1 106722gw1 11858b1 11858bd1 |
Quadratic twists by: -4 -3 -7 -11 |