Atkin-Lehner |
2+ 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
110110v |
Isogeny class |
Conductor |
110110 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
660480 |
Modular degree for the optimal curve |
Δ |
1305207805201300 = 22 · 52 · 74 · 114 · 135 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 11- 13- 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-86033,9520273] |
[a1,a2,a3,a4,a6] |
Generators |
[204:613:1] [-264:3863:1] |
Generators of the group modulo torsion |
j |
4810121654971369/89147449300 |
j-invariant |
L |
7.0569429415614 |
L(r)(E,1)/r! |
Ω |
0.48333657370614 |
Real period |
R |
0.060835307177187 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999997208 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110110bq1 |
Quadratic twists by: -11 |