Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
29400dk |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-132300000000 = -1 · 28 · 33 · 58 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1167,8037] |
[a1,a2,a3,a4,a6] |
j |
35840/27 |
j-invariant |
L |
1.3293556755465 |
L(r)(E,1)/r! |
Ω |
0.66467783777299 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58800em1 88200dz1 29400bo1 29400ei1 |
Quadratic twists by: -4 -3 5 -7 |