Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
1260d |
Isogeny class |
Conductor |
1260 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
47250000 = 24 · 33 · 56 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-132,481] |
[a1,a2,a3,a4,a6] |
j |
588791808/109375 |
j-invariant |
L |
1.9146354337462 |
L(r)(E,1)/r! |
Ω |
1.9146354337462 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
5040z1 20160j1 1260b3 6300b1 |
Quadratic twists by: -4 8 -3 5 |