Atkin-Lehner |
3- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
111573t |
Isogeny class |
Conductor |
111573 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6773760 |
Modular degree for the optimal curve |
Δ |
7442698214259 = 36 · 79 · 11 · 23 |
Discriminant |
Eigenvalues |
-1 3- 1 7- 11+ 7 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-106222577,421406015118] |
[a1,a2,a3,a4,a6] |
Generators |
[161039370:-30916177:27000] |
Generators of the group modulo torsion |
j |
4505721246665691247/253 |
j-invariant |
L |
4.7389967767256 |
L(r)(E,1)/r! |
Ω |
0.2800604214454 |
Real period |
R |
8.4606685066784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002839 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12397l1 111573u1 |
Quadratic twists by: -3 -7 |