Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
4200v |
Isogeny class |
Conductor |
4200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-3013270470000 = -1 · 24 · 316 · 54 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 5 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33808,-2382863] |
[a1,a2,a3,a4,a6] |
j |
-427361108435200/301327047 |
j-invariant |
L |
2.1124016590313 |
L(r)(E,1)/r! |
Ω |
0.17603347158594 |
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 |
8400be1 33600dy1 12600bh1 4200m1 |
Quadratic twists by: -4 8 -3 5 |