Atkin-Lehner |
2- 3+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
74022o |
Isogeny class |
Conductor |
74022 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-164903102676 = -1 · 22 · 32 · 137 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 1 2 6 13+ -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1095,14139] |
[a1,a2,a3,a4,a6] |
Generators |
[14:1003:8] |
Generators of the group modulo torsion |
j |
30080231/34164 |
j-invariant |
L |
10.907466511391 |
L(r)(E,1)/r! |
Ω |
0.67954944864731 |
Real period |
R |
2.0063783685384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985749 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5694a1 |
Quadratic twists by: 13 |