Atkin-Lehner |
2+ 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
42600j |
Isogeny class |
Conductor |
42600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
-184032000 = -1 · 28 · 34 · 53 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 2 -7 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,87,603] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-30:1] |
Generators of the group modulo torsion |
j |
2249728/5751 |
j-invariant |
L |
7.8121755085775 |
L(r)(E,1)/r! |
Ω |
1.2577806322973 |
Real period |
R |
0.19409623456925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85200r1 127800bu1 42600v1 |
Quadratic twists by: -4 -3 5 |