Atkin-Lehner |
2+ 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240bo |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3315106322841600 = 218 · 36 · 52 · 74 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-89825,-9954975] |
[a1,a2,a3,a4,a6] |
j |
305759741604409/12646127025 |
j-invariant |
L |
1.1059029335935 |
L(r)(E,1)/r! |
Ω |
0.27647569808272 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114240kr2 1785i2 |
Quadratic twists by: -4 8 |