Atkin-Lehner |
2+ 3- 11- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
97614t |
Isogeny class |
Conductor |
97614 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
302848 |
Modular degree for the optimal curve |
Δ |
32385982464 = 213 · 36 · 11 · 17 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 1 -4 11- -2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-75354,7980596] |
[a1,a2,a3,a4,a6] |
j |
64911008725758369/44425216 |
j-invariant |
L |
0.96777921370318 |
L(r)(E,1)/r! |
Ω |
0.96777914129672 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10846d1 |
Quadratic twists by: -3 |