Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360cc |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
40041330462720 = 212 · 34 · 5 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9987936,12152923200] |
[a1,a2,a3,a4,a6] |
Generators |
[-984:145008:1] [1536:20808:1] |
Generators of the group modulo torsion |
j |
1114544804970241/405 |
j-invariant |
L |
8.2098686128374 |
L(r)(E,1)/r! |
Ω |
0.38714560505412 |
Real period |
R |
5.3015380425609 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4335d7 240d7 |
Quadratic twists by: -4 17 |