Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304dt |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
39137280 |
Modular degree for the optimal curve |
Δ |
-1.1741311956493E+24 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -2 13+ -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-379228117,2842841392691] |
[a1,a2,a3,a4,a6] |
Generators |
[11678:83349:1] |
Generators of the group modulo torsion |
j |
-9122691795384795136/1775882908917 |
j-invariant |
L |
4.1571919542227 |
L(r)(E,1)/r! |
Ω |
0.084135179646804 |
Real period |
R |
1.7646737238594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030129 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304fq1 7644d1 122304ce1 |
Quadratic twists by: -4 8 -7 |