Atkin-Lehner |
2+ 3- 11- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
97614r |
Isogeny class |
Conductor |
97614 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-21047725908 = -1 · 22 · 36 · 114 · 17 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 11- -3 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,513,5233] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-103:1] [174:1211:8] |
Generators of the group modulo torsion |
j |
20458415375/28872052 |
j-invariant |
L |
7.967147744681 |
L(r)(E,1)/r! |
Ω |
0.81950252857667 |
Real period |
R |
0.6076207414621 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999746 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10846c1 |
Quadratic twists by: -3 |