Atkin-Lehner |
2- 3+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
3444b |
Isogeny class |
Conductor |
3444 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-680424192 = -1 · 28 · 33 · 74 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -3 -4 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-197,1713] |
[a1,a2,a3,a4,a6] |
Generators |
[16:49:1] |
Generators of the group modulo torsion |
j |
-3319595008/2657907 |
j-invariant |
L |
3.1814899712267 |
L(r)(E,1)/r! |
Ω |
1.4793153945963 |
Real period |
R |
1.0753251074275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13776ba1 55104bc1 10332d1 86100bg1 |
Quadratic twists by: -4 8 -3 5 |