Atkin-Lehner |
2+ 3- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
3090b |
Isogeny class |
Conductor |
3090 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1296 |
Modular degree for the optimal curve |
Δ |
-40546980 = -1 · 22 · 39 · 5 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 0 -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-454,3692] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:89:1] |
Generators of the group modulo torsion |
j |
-10316097499609/40546980 |
j-invariant |
L |
2.7254537241207 |
L(r)(E,1)/r! |
Ω |
2.0493970776654 |
Real period |
R |
0.6649403753482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
24720g1 98880m1 9270w1 15450s1 |
Quadratic twists by: -4 8 -3 5 |