Atkin-Lehner |
2+ 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
5070g |
Isogeny class |
Conductor |
5070 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-659100 = -1 · 22 · 3 · 52 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-42,96] |
[a1,a2,a3,a4,a6] |
Generators |
[2:4:1] |
Generators of the group modulo torsion |
j |
-3869893/300 |
j-invariant |
L |
2.4325503673099 |
L(r)(E,1)/r! |
Ω |
2.8201847640105 |
Real period |
R |
0.43127499984268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40560cz1 15210bk1 25350db1 5070o1 |
Quadratic twists by: -4 -3 5 13 |