Atkin-Lehner |
7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91091s |
Isogeny class |
Conductor |
91091 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
31306732670213 = 77 · 113 · 134 |
Discriminant |
Eigenvalues |
-2 0 0 7- 11- 13+ 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-41405,3231660] |
[a1,a2,a3,a4,a6] |
Generators |
[273:-3504:1] |
Generators of the group modulo torsion |
j |
2336256000/9317 |
j-invariant |
L |
3.0268442077086 |
L(r)(E,1)/r! |
Ω |
0.66222476068556 |
Real period |
R |
0.25392890902121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031616 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13013f1 91091e1 |
Quadratic twists by: -7 13 |