Atkin-Lehner |
3+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
97461d |
Isogeny class |
Conductor |
97461 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1073682489468771 = 33 · 712 · 132 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 0 13- 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26984,658928] |
[a1,a2,a3,a4,a6] |
j |
684030715731/338005577 |
j-invariant |
L |
1.7418946180207 |
L(r)(E,1)/r! |
Ω |
0.43547364485602 |
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 |
97461a2 13923c2 |
Quadratic twists by: -3 -7 |