Atkin-Lehner |
3- 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
114975bn |
Isogeny class |
Conductor |
114975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
698473125 = 37 · 54 · 7 · 73 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 5 6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-300,-1544] |
[a1,a2,a3,a4,a6] |
j |
6553600/1533 |
j-invariant |
L |
2.3330474306855 |
L(r)(E,1)/r! |
Ω |
1.1665234358315 |
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 |
38325g1 114975q1 |
Quadratic twists by: -3 5 |