Atkin-Lehner |
2+ 7- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
70448f |
Isogeny class |
Conductor |
70448 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3700164970944512 = 211 · 7 · 178 · 37 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- -4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38891,386426] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:1506:1] |
Generators of the group modulo torsion |
j |
3176443176226434/1806721177219 |
j-invariant |
L |
4.2711401829425 |
L(r)(E,1)/r! |
Ω |
0.38036679865113 |
Real period |
R |
5.6145018415206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999586 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35224c3 |
Quadratic twists by: -4 |