Atkin-Lehner |
2+ 3+ 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
48840f |
Isogeny class |
Conductor |
48840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
7631250000 = 24 · 3 · 58 · 11 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-615,-3900] |
[a1,a2,a3,a4,a6] |
j |
1610404796416/476953125 |
j-invariant |
L |
3.9216948342665 |
L(r)(E,1)/r! |
Ω |
0.98042370840572 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97680r1 |
Quadratic twists by: -4 |