Atkin-Lehner |
3+ 5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
7215c |
Isogeny class |
Conductor |
7215 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1.6927750863941E+22 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 2 13+ 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4971570,-4578341850] |
[a1,a2,a3,a4,a6] |
Generators |
[1155:51444:1] |
Generators of the group modulo torsion |
j |
13589528310346434923573279/16927750863940657966875 |
j-invariant |
L |
2.5010041603636 |
L(r)(E,1)/r! |
Ω |
0.066052627915293 |
Real period |
R |
3.155317508804 |
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 |
115440da2 21645e2 36075q2 93795b2 |
Quadratic twists by: -4 -3 5 13 |