Atkin-Lehner |
2- 3- 5- 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
114570bx |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
376802788910850 = 2 · 39 · 52 · 19 · 674 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1232042,-526055209] |
[a1,a2,a3,a4,a6] |
Generators |
[19070:793571:8] |
Generators of the group modulo torsion |
j |
283708529366229505369/516876253650 |
j-invariant |
L |
10.776939634167 |
L(r)(E,1)/r! |
Ω |
0.14329903025807 |
Real period |
R |
9.4007436599853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000121453 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38190k4 |
Quadratic twists by: -3 |