Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304cc |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3.963233607232E+23 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33959809,81984518785] |
[a1,a2,a3,a4,a6] |
Generators |
[-2528662261895:392541805227060:1009027027] |
Generators of the group modulo torsion |
j |
-280880296871140514/25701087819771 |
j-invariant |
L |
5.7407049698106 |
L(r)(E,1)/r! |
Ω |
0.092717772974798 |
Real period |
R |
15.478976500212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000093534 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304in5 15288bc6 17472bh6 |
Quadratic twists by: -4 8 -7 |