Atkin-Lehner |
2- 3+ 5- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73950co |
Isogeny class |
Conductor |
73950 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-217235520000 = -1 · 29 · 34 · 54 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -4 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-913,24431] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:-168:1] [29:138:1] |
Generators of the group modulo torsion |
j |
-134674619425/347576832 |
j-invariant |
L |
12.185844214203 |
L(r)(E,1)/r! |
Ω |
0.88116361643 |
Real period |
R |
0.1280487400618 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73950bc1 |
Quadratic twists by: 5 |