Atkin-Lehner |
2+ 3- 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113850cf |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3096576 |
Modular degree for the optimal curve |
Δ |
-4368527241518880000 = -1 · 28 · 36 · 54 · 11 · 237 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ -4 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1753092,-898622384] |
[a1,a2,a3,a4,a6] |
Generators |
[122331560:470685908:79507] |
Generators of the group modulo torsion |
j |
-1307767166474441425/9587988458752 |
j-invariant |
L |
3.3520754745163 |
L(r)(E,1)/r! |
Ω |
0.065573476202986 |
Real period |
R |
12.779845178213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999398307 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12650bb1 113850eg1 |
Quadratic twists by: -3 5 |