Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48300o |
Isogeny class |
Conductor |
48300 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-3485889199987488000 = -1 · 28 · 36 · 53 · 710 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 6 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-624828,210466152] |
[a1,a2,a3,a4,a6] |
Generators |
[57:13230:1] |
Generators of the group modulo torsion |
j |
-843054940944516368/108934037499609 |
j-invariant |
L |
5.4138753640265 |
L(r)(E,1)/r! |
Ω |
0.24264802117983 |
Real period |
R |
1.1155820141625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48300ba2 |
Quadratic twists by: 5 |