Atkin-Lehner |
2- 7+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
91504d |
Isogeny class |
Conductor |
91504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
95424 |
Modular degree for the optimal curve |
Δ |
-2998403072 = -1 · 219 · 7 · 19 · 43 |
Discriminant |
Eigenvalues |
2- -3 4 7+ 2 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,197,2410] |
[a1,a2,a3,a4,a6] |
Generators |
[45:320:1] |
Generators of the group modulo torsion |
j |
206425071/732032 |
j-invariant |
L |
5.7580530730406 |
L(r)(E,1)/r! |
Ω |
1.0113787856674 |
Real period |
R |
1.4233176398764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11438a1 |
Quadratic twists by: -4 |