Atkin-Lehner |
3+ 5+ 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
109725k |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7524734765625 = 32 · 58 · 72 · 112 · 192 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 11- 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4900,-6125] |
[a1,a2,a3,a4,a6] |
Generators |
[-490:2345:8] |
Generators of the group modulo torsion |
j |
832972004929/481583025 |
j-invariant |
L |
7.0065213057888 |
L(r)(E,1)/r! |
Ω |
0.62425908806649 |
Real period |
R |
2.8059348560947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999543712 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21945y2 |
Quadratic twists by: 5 |