Atkin-Lehner |
2+ 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
4650u |
Isogeny class |
Conductor |
4650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2400 |
Modular degree for the optimal curve |
Δ |
-3487500000 = -1 · 25 · 32 · 58 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -1 -1 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,299,2048] |
[a1,a2,a3,a4,a6] |
j |
7604375/8928 |
j-invariant |
L |
1.8790063581157 |
L(r)(E,1)/r! |
Ω |
0.93950317905787 |
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 |
37200cd1 13950cw1 4650bc1 |
Quadratic twists by: -4 -3 5 |