Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12495j |
Isogeny class |
Conductor |
12495 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
210003465 = 3 · 5 · 77 · 17 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1839,30181] |
[a1,a2,a3,a4,a6] |
Generators |
[101000:1337659:512] |
Generators of the group modulo torsion |
j |
5841725401/1785 |
j-invariant |
L |
6.497364241677 |
L(r)(E,1)/r! |
Ω |
1.7407145739219 |
Real period |
R |
7.4651690047475 |
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 |
37485bv1 62475x1 1785g1 |
Quadratic twists by: -3 5 -7 |