Atkin-Lehner |
2- 3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
29406o |
Isogeny class |
Conductor |
29406 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
266112 |
Modular degree for the optimal curve |
Δ |
-122233998670657536 = -1 · 211 · 3 · 138 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 -2 13+ 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-29325,-16943997] |
[a1,a2,a3,a4,a6] |
j |
-577801395289/25323976704 |
j-invariant |
L |
3.1849120800474 |
L(r)(E,1)/r! |
Ω |
0.14476873091123 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88218z1 2262b1 |
Quadratic twists by: -3 13 |