Atkin-Lehner |
2- 3+ 7- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22134bc |
Isogeny class |
Conductor |
22134 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
112640 |
Modular degree for the optimal curve |
Δ |
-56912357376 = -1 · 211 · 35 · 7 · 17 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 5 -5 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-69797,7068395] |
[a1,a2,a3,a4,a6] |
Generators |
[155:-16:1] |
Generators of the group modulo torsion |
j |
-37604028211309424593/56912357376 |
j-invariant |
L |
5.4480956823633 |
L(r)(E,1)/r! |
Ω |
0.94939314568844 |
Real period |
R |
0.26084105826899 |
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 |
66402k1 |
Quadratic twists by: -3 |