Atkin-Lehner |
2+ 7- 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
98686f |
Isogeny class |
Conductor |
98686 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
-1625206344874 = -1 · 2 · 76 · 194 · 53 |
Discriminant |
Eigenvalues |
2+ 2 3 7- 1 0 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-956,-62782] |
[a1,a2,a3,a4,a6] |
Generators |
[8126:254951:8] |
Generators of the group modulo torsion |
j |
-822656953/13814026 |
j-invariant |
L |
9.2608971784052 |
L(r)(E,1)/r! |
Ω |
0.36232500505164 |
Real period |
R |
6.3899103300241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000862 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2014b1 |
Quadratic twists by: -7 |