Atkin-Lehner |
3+ 5+ 7+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31395b |
Isogeny class |
Conductor |
31395 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
104108861390625 = 32 · 56 · 72 · 134 · 232 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12063,-143208] |
[a1,a2,a3,a4,a6] |
j |
194153823597654649/104108861390625 |
j-invariant |
L |
1.9386477705131 |
L(r)(E,1)/r! |
Ω |
0.48466194262796 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
94185x2 |
Quadratic twists by: -3 |