Atkin-Lehner |
7- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129437d |
Isogeny class |
Conductor |
129437 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
419520 |
Modular degree for the optimal curve |
Δ |
-197143576314223 = -1 · 73 · 112 · 416 |
Discriminant |
Eigenvalues |
1 -2 -2 7- 11+ -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5848,653721] |
[a1,a2,a3,a4,a6] |
j |
4657463/41503 |
j-invariant |
L |
1.2423381505485 |
L(r)(E,1)/r! |
Ω |
0.41411266753029 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77c1 |
Quadratic twists by: 41 |