Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
14400ei |
Isogeny class |
Conductor |
14400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-255091680000000000 = -1 · 214 · 313 · 510 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 6 -3 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-210000,44300000] |
[a1,a2,a3,a4,a6] |
Generators |
[-239:8991:1] |
Generators of the group modulo torsion |
j |
-8780800/2187 |
j-invariant |
L |
4.1012416991563 |
L(r)(E,1)/r! |
Ω |
0.29637151752177 |
Real period |
R |
3.4595444034657 |
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 |
14400bv1 3600q1 4800bq1 14400fk1 |
Quadratic twists by: -4 8 -3 5 |