Atkin-Lehner |
2+ 3+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
35376a |
Isogeny class |
Conductor |
35376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6051843072 = 210 · 36 · 112 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 11+ 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1528,23200] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:162:1] |
Generators of the group modulo torsion |
j |
385547606500/5910003 |
j-invariant |
L |
3.4923303326194 |
L(r)(E,1)/r! |
Ω |
1.3470480613862 |
Real period |
R |
1.2962901743185 |
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 |
17688d2 106128m2 |
Quadratic twists by: -4 -3 |