Atkin-Lehner |
2- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
1736b |
Isogeny class |
Conductor |
1736 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
15274264951364608 = 210 · 75 · 316 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 2 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-348619,-79003818] |
[a1,a2,a3,a4,a6] |
Generators |
[194695:7022988:125] |
Generators of the group modulo torsion |
j |
4575904097608151172/14916274366567 |
j-invariant |
L |
3.0356930157509 |
L(r)(E,1)/r! |
Ω |
0.19651554431221 |
Real period |
R |
5.1491991407525 |
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 |
3472b2 13888g2 15624k2 43400k2 |
Quadratic twists by: -4 8 -3 5 |