Atkin-Lehner |
2+ 3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65472i |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
1513632567744 = 26 · 38 · 112 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 11- -4 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39424,-2999246] |
[a1,a2,a3,a4,a6] |
j |
105885578215194688/23650508871 |
j-invariant |
L |
0.33881630130476 |
L(r)(E,1)/r! |
Ω |
0.33881629274253 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472v1 32736c2 |
Quadratic twists by: -4 8 |