Atkin-Lehner |
2+ 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39360b |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
-235056660480000000 = -1 · 225 · 37 · 57 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 2 0 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,147519,-8326719] |
[a1,a2,a3,a4,a6] |
Generators |
[210825:5572864:729] |
Generators of the group modulo torsion |
j |
1354330706847119/896670000000 |
j-invariant |
L |
5.3034129797197 |
L(r)(E,1)/r! |
Ω |
0.17841954244093 |
Real period |
R |
7.4310987843104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39360ch1 1230k1 118080cm1 |
Quadratic twists by: -4 8 -3 |