Atkin-Lehner |
2+ 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
2400p |
Isogeny class |
Conductor |
2400 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
-283435200000000 = -1 · 212 · 311 · 58 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 4 -7 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4333,815963] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:900:1] |
Generators of the group modulo torsion |
j |
-5624320/177147 |
j-invariant |
L |
3.4998787391101 |
L(r)(E,1)/r! |
Ω |
0.4578262958151 |
Real period |
R |
0.11582660548076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2400g1 4800bx1 7200by1 2400t1 |
Quadratic twists by: -4 8 -3 5 |