Atkin-Lehner |
3+ 5- 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
10605c |
Isogeny class |
Conductor |
10605 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
61460674340625 = 33 · 55 · 7 · 1014 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ 0 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3150212,-2153389989] |
[a1,a2,a3,a4,a6] |
Generators |
[-10916774:5482337:10648] |
Generators of the group modulo torsion |
j |
3457349403851179413750601/61460674340625 |
j-invariant |
L |
4.2380107406502 |
L(r)(E,1)/r! |
Ω |
0.11332209422558 |
Real period |
R |
7.4795842233801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31815b4 53025r4 74235j4 |
Quadratic twists by: -3 5 -7 |