Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
4650bb |
Isogeny class |
Conductor |
4650 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-55858125000 = -1 · 23 · 3 · 57 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -3 -2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13063,-580219] |
[a1,a2,a3,a4,a6] |
Generators |
[145:702:1] |
Generators of the group modulo torsion |
j |
-15777367606441/3574920 |
j-invariant |
L |
4.747036505956 |
L(r)(E,1)/r! |
Ω |
0.22328150495384 |
Real period |
R |
0.59056447685939 |
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 |
37200cr2 13950t2 930i2 |
Quadratic twists by: -4 -3 5 |