Atkin-Lehner |
3- 7- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
38493f |
Isogeny class |
Conductor |
38493 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-482627967003 = -1 · 311 · 73 · 132 · 47 |
Discriminant |
Eigenvalues |
0 3- -2 7- -3 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1374,27072] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-284:1] [-30:1179:8] |
Generators of the group modulo torsion |
j |
393510551552/662041107 |
j-invariant |
L |
6.8364268684802 |
L(r)(E,1)/r! |
Ω |
0.63827269880059 |
Real period |
R |
0.44628435472053 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12831b1 |
Quadratic twists by: -3 |