Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
8400bq |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-2500470000 = -1 · 24 · 36 · 54 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 3 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-658,-6713] |
[a1,a2,a3,a4,a6] |
Generators |
[37:135:1] |
Generators of the group modulo torsion |
j |
-3155449600/250047 |
j-invariant |
L |
3.4462847036792 |
L(r)(E,1)/r! |
Ω |
0.46912612075957 |
Real period |
R |
1.2243632544198 |
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 |
2100r1 33600hc1 25200fe1 8400ch1 |
Quadratic twists by: -4 8 -3 5 |