Atkin-Lehner |
2+ 3- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
12810h |
Isogeny class |
Conductor |
12810 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
2259684000000 = 28 · 33 · 56 · 73 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11103,443506] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:972:1] |
Generators of the group modulo torsion |
j |
151352117885865961/2259684000000 |
j-invariant |
L |
4.5696946186353 |
L(r)(E,1)/r! |
Ω |
0.82246267717648 |
Real period |
R |
1.8520372800069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
102480bl1 38430bm1 64050br1 89670a1 |
Quadratic twists by: -4 -3 5 -7 |