Atkin-Lehner |
2+ 3+ 7+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
107184c |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
272459128144896 = 210 · 32 · 74 · 114 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47712,-3916080] |
[a1,a2,a3,a4,a6] |
Generators |
[1310:46690:1] |
Generators of the group modulo torsion |
j |
11730478373889412/266073367329 |
j-invariant |
L |
6.3302257246264 |
L(r)(E,1)/r! |
Ω |
0.32347566233434 |
Real period |
R |
4.8923508526887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999918559 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
53592k2 |
Quadratic twists by: -4 |