Atkin-Lehner |
2- 5- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
121030be |
Isogeny class |
Conductor |
121030 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
18063360 |
Modular degree for the optimal curve |
Δ |
2.2694294026879E+24 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-40202427,66137580779] |
[a1,a2,a3,a4,a6] |
Generators |
[-6963:95356:1] |
Generators of the group modulo torsion |
j |
61079050613482606276209/19289831640625000000 |
j-invariant |
L |
10.44422836325 |
L(r)(E,1)/r! |
Ω |
0.075844439143029 |
Real period |
R |
1.6393562066009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999918091 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17290k1 |
Quadratic twists by: -7 |