Atkin-Lehner |
2+ 3- 13- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
115362g |
Isogeny class |
Conductor |
115362 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
8073494208 = 26 · 39 · 13 · 17 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 0 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-531588096,-4717357062080] |
[a1,a2,a3,a4,a6] |
Generators |
[-26126033208452865664253884652867418986935:13063016182461198336557687689377481374821:1962703219903207733987740229018323375] |
Generators of the group modulo torsion |
j |
22788824590589290961196957697/11074752 |
j-invariant |
L |
6.8323143752466 |
L(r)(E,1)/r! |
Ω |
0.031441679966808 |
Real period |
R |
54.325296348466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000279171 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38454i4 |
Quadratic twists by: -3 |