Atkin-Lehner |
2+ 3+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
35376a |
Isogeny class |
Conductor |
35376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
341307648 = 28 · 33 · 11 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 11+ 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-188,-384] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:12:1] |
Generators of the group modulo torsion |
j |
2885794000/1333233 |
j-invariant |
L |
3.4923303326194 |
L(r)(E,1)/r! |
Ω |
1.3470480613862 |
Real period |
R |
2.592580348637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17688d1 106128m1 |
Quadratic twists by: -4 -3 |