Atkin-Lehner |
5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
2695c |
Isogeny class |
Conductor |
2695 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1213760835546875 = 58 · 710 · 11 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- 11- 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-34138,-1747658] |
[a1,a2,a3,a4,a6] |
Generators |
[-1090:5343:8] |
Generators of the group modulo torsion |
j |
37397086385121/10316796875 |
j-invariant |
L |
1.9204853927889 |
L(r)(E,1)/r! |
Ω |
0.3585278894594 |
Real period |
R |
2.6782928877369 |
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 |
43120be3 24255bn3 13475h4 385a3 |
Quadratic twists by: -4 -3 5 -7 |