Atkin-Lehner |
7- 37+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
110593b |
Isogeny class |
Conductor |
110593 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
948480 |
Modular degree for the optimal curve |
Δ |
-212497864742681371 = -1 · 77 · 375 · 612 |
Discriminant |
Eigenvalues |
0 2 -3 7- 1 5 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-43577,-22438823] |
[a1,a2,a3,a4,a6] |
Generators |
[2371:114880:1] |
Generators of the group modulo torsion |
j |
-77788863004672/1806202047979 |
j-invariant |
L |
5.9215308995003 |
L(r)(E,1)/r! |
Ω |
0.13668158321217 |
Real period |
R |
5.4154432652208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042576 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15799a1 |
Quadratic twists by: -7 |