Atkin-Lehner |
5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
97175m |
Isogeny class |
Conductor |
97175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
-2345225822875 = -1 · 53 · 138 · 23 |
Discriminant |
Eigenvalues |
0 0 5- -1 -2 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1690,68656] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:84:1] [130:2531:8] |
Generators of the group modulo torsion |
j |
884736/3887 |
j-invariant |
L |
8.4282970442131 |
L(r)(E,1)/r! |
Ω |
0.58541577600506 |
Real period |
R |
3.5992782352076 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999673 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97175r1 7475g1 |
Quadratic twists by: 5 13 |