Atkin-Lehner |
5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
97175r |
Isogeny class |
Conductor |
97175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
-36644153482421875 = -1 · 59 · 138 · 23 |
Discriminant |
Eigenvalues |
0 0 5- 1 -2 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,42250,8582031] |
[a1,a2,a3,a4,a6] |
Generators |
[-702:16389:8] |
Generators of the group modulo torsion |
j |
884736/3887 |
j-invariant |
L |
4.8001928116055 |
L(r)(E,1)/r! |
Ω |
0.26180589404962 |
Real period |
R |
4.583732580395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999717235 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97175m1 7475e1 |
Quadratic twists by: 5 13 |