Atkin-Lehner |
3- 7+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
94017s |
Isogeny class |
Conductor |
94017 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
566784 |
Modular degree for the optimal curve |
Δ |
2100149207541 = 33 · 73 · 112 · 374 |
Discriminant |
Eigenvalues |
-2 3- 3 7+ 11- -6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-75874,-8069330] |
[a1,a2,a3,a4,a6] |
Generators |
[-160:10:1] |
Generators of the group modulo torsion |
j |
399229850739208192/17356605021 |
j-invariant |
L |
4.4607323384745 |
L(r)(E,1)/r! |
Ω |
0.28765833708495 |
Real period |
R |
2.5845084186734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999441541 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94017w1 |
Quadratic twists by: -11 |