Atkin-Lehner |
3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
12615f |
Isogeny class |
Conductor |
12615 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
240903445005 = 34 · 5 · 296 |
Discriminant |
Eigenvalues |
1 3- 5- 0 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1816578,-942537797] |
[a1,a2,a3,a4,a6] |
Generators |
[-46164705990:23025580843:59319000] |
Generators of the group modulo torsion |
j |
1114544804970241/405 |
j-invariant |
L |
7.237290736105 |
L(r)(E,1)/r! |
Ω |
0.13004272779888 |
Real period |
R |
13.913293843117 |
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 |
37845d8 63075c8 15a5 |
Quadratic twists by: -3 5 29 |