Atkin-Lehner |
2+ 7- 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
105154b |
Isogeny class |
Conductor |
105154 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-11777248 = -1 · 25 · 73 · 29 · 37 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- -1 -2 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-338,2484] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-15:1] [-26:489:8] |
Generators of the group modulo torsion |
j |
-12471027759/34336 |
j-invariant |
L |
7.2303720912858 |
L(r)(E,1)/r! |
Ω |
2.268456391966 |
Real period |
R |
1.5936766773665 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000398 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105154a1 |
Quadratic twists by: -7 |