Atkin-Lehner |
2- 3+ 7- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
98532k |
Isogeny class |
Conductor |
98532 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
176256 |
Modular degree for the optimal curve |
Δ |
-26861059185408 = -1 · 28 · 33 · 7 · 176 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 3 -4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6960,-110588] |
[a1,a2,a3,a4,a6] |
j |
5394456576000/3886148609 |
j-invariant |
L |
1.5013714828842 |
L(r)(E,1)/r! |
Ω |
0.37534292492099 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
98532j2 |
Quadratic twists by: -3 |