Atkin-Lehner |
2+ 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35322a |
Isogeny class |
Conductor |
35322 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
280386036 = 22 · 35 · 73 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 2 -6 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1438,-21584] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:14:1] |
Generators of the group modulo torsion |
j |
391449897889/333396 |
j-invariant |
L |
2.6798661697821 |
L(r)(E,1)/r! |
Ω |
0.77525168860265 |
Real period |
R |
1.7283846066898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105966br1 35322bd1 |
Quadratic twists by: -3 29 |