Atkin-Lehner |
5- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
97175z |
Isogeny class |
Conductor |
97175 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
853632 |
Modular degree for the optimal curve |
Δ |
16128117983911375 = 53 · 139 · 233 |
Discriminant |
Eigenvalues |
1 1 5- 3 4 13- 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-476246,126313813] |
[a1,a2,a3,a4,a6] |
j |
9011897441/12167 |
j-invariant |
L |
4.6910785919376 |
L(r)(E,1)/r! |
Ω |
0.39092323254454 |
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 |
97175y1 97175ba1 |
Quadratic twists by: 5 13 |