Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30576v |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
855114344448 = 211 · 3 · 77 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7419792,-7781687628] |
[a1,a2,a3,a4,a6] |
Generators |
[76935665141165:3442134944753358:18295397875] |
Generators of the group modulo torsion |
j |
187491149065688834/3549 |
j-invariant |
L |
8.2214695154789 |
L(r)(E,1)/r! |
Ω |
0.091474831273392 |
Real period |
R |
22.469212025402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15288u5 122304gh6 91728ba6 4368d5 |
Quadratic twists by: -4 8 -3 -7 |