Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34800cw |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-250560000000 = -1 · 212 · 33 · 57 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -3 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4533,-121437] |
[a1,a2,a3,a4,a6] |
Generators |
[78:75:1] |
Generators of the group modulo torsion |
j |
-160989184/3915 |
j-invariant |
L |
7.0460106355817 |
L(r)(E,1)/r! |
Ω |
0.2904965637773 |
Real period |
R |
2.0212547278708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2175a1 104400em1 6960v1 |
Quadratic twists by: -4 -3 5 |