Atkin-Lehner |
2+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
3410a |
Isogeny class |
Conductor |
3410 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1125600080 = 24 · 5 · 114 · 312 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 11- -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-349,-1944] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:26:1] |
Generators of the group modulo torsion |
j |
4681768588489/1125600080 |
j-invariant |
L |
1.2780598659846 |
L(r)(E,1)/r! |
Ω |
1.1242528661047 |
Real period |
R |
0.28420204753689 |
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 |
27280l2 109120l2 30690bp2 17050l2 |
Quadratic twists by: -4 8 -3 5 |