Atkin-Lehner |
2+ 3+ 7- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
29274k |
Isogeny class |
Conductor |
29274 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
10714306482432 = 28 · 36 · 72 · 17 · 413 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-23401,1359109] |
[a1,a2,a3,a4,a6] |
Generators |
[66:-361:1] |
Generators of the group modulo torsion |
j |
1417280982759547417/10714306482432 |
j-invariant |
L |
2.021212514859 |
L(r)(E,1)/r! |
Ω |
0.72445363270537 |
Real period |
R |
0.46499698154389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87822bs1 |
Quadratic twists by: -3 |