Atkin-Lehner |
2+ 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34104d |
Isogeny class |
Conductor |
34104 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3619160146215936 = 210 · 36 · 78 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38432,192060] |
[a1,a2,a3,a4,a6] |
j |
52110563908/30041361 |
j-invariant |
L |
3.0215788491373 |
L(r)(E,1)/r! |
Ω |
0.37769735614177 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68208t2 102312bu2 4872g2 |
Quadratic twists by: -4 -3 -7 |