Atkin-Lehner |
2+ 7- 23+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
119462d |
Isogeny class |
Conductor |
119462 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
731136 |
Modular degree for the optimal curve |
Δ |
-4895011119292 = -1 · 22 · 77 · 232 · 532 |
Discriminant |
Eigenvalues |
2+ 2 4 7- -4 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-39813,-3076135] |
[a1,a2,a3,a4,a6] |
Generators |
[12155:1333895:1] |
Generators of the group modulo torsion |
j |
-59323563117001/41606908 |
j-invariant |
L |
10.044117767481 |
L(r)(E,1)/r! |
Ω |
0.16898324478952 |
Real period |
R |
7.4298178416953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999510193 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17066a1 |
Quadratic twists by: -7 |