Atkin-Lehner |
3+ 5+ 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
93075h |
Isogeny class |
Conductor |
93075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
185920 |
Modular degree for the optimal curve |
Δ |
-4246546875 = -1 · 3 · 56 · 17 · 732 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -4 5 -5 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4658,123968] |
[a1,a2,a3,a4,a6] |
Generators |
[43:36:1] |
Generators of the group modulo torsion |
j |
-715476496384/271779 |
j-invariant |
L |
1.9682611896074 |
L(r)(E,1)/r! |
Ω |
1.3596803986169 |
Real period |
R |
0.72379552440259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077905 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3723b1 |
Quadratic twists by: 5 |