Atkin-Lehner |
2+ 3- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650cg |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
583680 |
Modular degree for the optimal curve |
Δ |
-7241037398437500 = -1 · 22 · 39 · 59 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7758,-4087584] |
[a1,a2,a3,a4,a6] |
Generators |
[330:-6024:1] |
Generators of the group modulo torsion |
j |
36264691/5085612 |
j-invariant |
L |
3.570441261975 |
L(r)(E,1)/r! |
Ω |
0.19799438127177 |
Real period |
R |
1.1270652121736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999792158 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32550cp1 97650es1 |
Quadratic twists by: -3 5 |