Atkin-Lehner |
2- 3- 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
84420q |
Isogeny class |
Conductor |
84420 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
3225600 |
Modular degree for the optimal curve |
Δ |
-8.2035520029097E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 -1 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,514347,1370697473] |
[a1,a2,a3,a4,a6] |
Generators |
[136:37989:1] |
Generators of the group modulo torsion |
j |
1290163747540953344/70332235964589375 |
j-invariant |
L |
5.1201565155089 |
L(r)(E,1)/r! |
Ω |
0.12073803896037 |
Real period |
R |
0.35339294294745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011406 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28140g1 |
Quadratic twists by: -3 |