Atkin-Lehner |
2+ 11- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
115258f |
Isogeny class |
Conductor |
115258 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-842722236928 = -1 · 29 · 11 · 136 · 31 |
Discriminant |
Eigenvalues |
2+ -2 0 1 11- 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5581,165960] |
[a1,a2,a3,a4,a6] |
Generators |
[40:-105:1] [-18:3385:8] |
Generators of the group modulo torsion |
j |
-3981876625/174592 |
j-invariant |
L |
6.5003884429429 |
L(r)(E,1)/r! |
Ω |
0.88271392646004 |
Real period |
R |
3.6820470621489 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005635 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
682a1 |
Quadratic twists by: 13 |