Atkin-Lehner |
3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
124215bd |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
13841813018499375 = 3 · 54 · 76 · 137 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1076530172,13594808497509] |
[a1,a2,a3,a4,a6] |
Generators |
[152894:246343:8] |
Generators of the group modulo torsion |
j |
242970740812818720001/24375 |
j-invariant |
L |
5.1348799897258 |
L(r)(E,1)/r! |
Ω |
0.15452937835641 |
Real period |
R |
4.1536438125388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038173 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2535f7 9555e7 |
Quadratic twists by: -7 13 |