Atkin-Lehner |
5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
97175a |
Isogeny class |
Conductor |
97175 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1875744 |
Modular degree for the optimal curve |
Δ |
-248124892060175 = -1 · 52 · 138 · 233 |
Discriminant |
Eigenvalues |
1 -1 5+ 4 -4 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5672150,5197234255] |
[a1,a2,a3,a4,a6] |
Generators |
[-2634:44581:1] |
Generators of the group modulo torsion |
j |
-989646575880625/12167 |
j-invariant |
L |
5.7273254157028 |
L(r)(E,1)/r! |
Ω |
0.3911424898704 |
Real period |
R |
4.8808516616891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001361 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97175v1 97175c1 |
Quadratic twists by: 5 13 |