Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30276m |
Isogeny class |
Conductor |
30276 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-3219240916290816 = -1 · 28 · 36 · 297 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 3 5 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32799,-3560794] |
[a1,a2,a3,a4,a6] |
Generators |
[290:3364:1] |
Generators of the group modulo torsion |
j |
-35152/29 |
j-invariant |
L |
3.6953690322113 |
L(r)(E,1)/r! |
Ω |
0.17137591027739 |
Real period |
R |
1.7969119396797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121104cg1 3364a1 1044j1 |
Quadratic twists by: -4 -3 29 |