Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
115596s |
Isogeny class |
Conductor |
115596 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
23224320 |
Modular degree for the optimal curve |
Δ |
-3.5635441678535E+20 |
Discriminant |
Eigenvalues |
2- 3- -3 3 3 13+ -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-405312024,3140742731204] |
[a1,a2,a3,a4,a6] |
Generators |
[12181:104949:1] |
Generators of the group modulo torsion |
j |
-8174563425829593088/395598411 |
j-invariant |
L |
6.0252952275547 |
L(r)(E,1)/r! |
Ω |
0.1271938396131 |
Real period |
R |
3.9475806237576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999783225 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38532e1 8892l1 |
Quadratic twists by: -3 13 |