Atkin-Lehner |
3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
124215cr |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-6263044515 = -1 · 32 · 5 · 77 · 132 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 1 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,425,-1634] |
[a1,a2,a3,a4,a6] |
j |
425984/315 |
j-invariant |
L |
3.0041223769466 |
L(r)(E,1)/r! |
Ω |
0.75103057863009 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17745a1 124215by1 |
Quadratic twists by: -7 13 |