Atkin-Lehner |
2+ 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
29232c |
Isogeny class |
Conductor |
29232 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
317184 |
Modular degree for the optimal curve |
Δ |
-962732255643648 = -1 · 211 · 39 · 77 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -3 1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3022515,-2022557742] |
[a1,a2,a3,a4,a6] |
j |
-75754399836615750/23882747 |
j-invariant |
L |
1.6030071738505 |
L(r)(E,1)/r! |
Ω |
0.057250256208908 |
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 |
14616a1 116928dc1 29232d1 |
Quadratic twists by: -4 8 -3 |