Atkin-Lehner |
2- 3- 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
29070bm |
Isogeny class |
Conductor |
29070 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-84403730108160 = -1 · 28 · 37 · 5 · 174 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12857,-711079] |
[a1,a2,a3,a4,a6] |
Generators |
[159:1036:1] |
Generators of the group modulo torsion |
j |
-322391399464009/115780151040 |
j-invariant |
L |
9.7103148566696 |
L(r)(E,1)/r! |
Ω |
0.22020884279532 |
Real period |
R |
2.7559959483822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9690j1 |
Quadratic twists by: -3 |