Atkin-Lehner |
2+ 3- 7- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
109494x |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
-2425477237514698752 = -1 · 218 · 36 · 75 · 112 · 792 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 11- 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,259965,54814293] |
[a1,a2,a3,a4,a6] |
j |
2665261881377580239/3327129269567488 |
j-invariant |
L |
3.459887548011 |
L(r)(E,1)/r! |
Ω |
0.17299435422071 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12166o1 |
Quadratic twists by: -3 |