Atkin-Lehner |
2- 3+ 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
28140g |
Isogeny class |
Conductor |
28140 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-1125315775433430000 = -1 · 24 · 35 · 54 · 73 · 675 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 3 -1 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,57150,-50785623] |
[a1,a2,a3,a4,a6] |
Generators |
[424:7035:1] |
Generators of the group modulo torsion |
j |
1290163747540953344/70332235964589375 |
j-invariant |
L |
5.1408847252703 |
L(r)(E,1)/r! |
Ω |
0.13149038352478 |
Real period |
R |
0.21720577528441 |
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 |
112560cq1 84420q1 |
Quadratic twists by: -4 -3 |