Atkin-Lehner |
3- 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
114975bm |
Isogeny class |
Conductor |
114975 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
5452800 |
Modular degree for the optimal curve |
Δ |
1048146233203125 = 37 · 58 · 75 · 73 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 5 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-118139250,494241748906] |
[a1,a2,a3,a4,a6] |
j |
640352010539722178560/3680733 |
j-invariant |
L |
2.3897999013948 |
L(r)(E,1)/r! |
Ω |
0.23898001659372 |
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 |
38325f1 114975p1 |
Quadratic twists by: -3 5 |