Atkin-Lehner |
3- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
48825bt |
Isogeny class |
Conductor |
48825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
139776 |
Modular degree for the optimal curve |
Δ |
1513610398125 = 313 · 54 · 72 · 31 |
Discriminant |
Eigenvalues |
2 3- 5- 7+ 5 -4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5025,-123669] |
[a1,a2,a3,a4,a6] |
j |
30798131200/3322053 |
j-invariant |
L |
4.5680476881397 |
L(r)(E,1)/r! |
Ω |
0.57100596106474 |
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 |
16275x1 48825bq1 |
Quadratic twists by: -3 5 |