Atkin-Lehner |
2+ 3- 7- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
30954n |
Isogeny class |
Conductor |
30954 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
36000 |
Modular degree for the optimal curve |
Δ |
4854082464 = 25 · 35 · 7 · 113 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11- 1 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1425,-20540] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:27:1] |
Generators of the group modulo torsion |
j |
319690791898633/4854082464 |
j-invariant |
L |
3.7039338658917 |
L(r)(E,1)/r! |
Ω |
0.77782493848102 |
Real period |
R |
0.31746079635219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92862bw1 |
Quadratic twists by: -3 |