Atkin-Lehner |
3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
124215bm |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3594240 |
Modular degree for the optimal curve |
Δ |
6.8774432163716E+19 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 0 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2774307,1732119264] |
[a1,a2,a3,a4,a6] |
j |
1892819053/55125 |
j-invariant |
L |
2.3325572322813 |
L(r)(E,1)/r! |
Ω |
0.19437971624167 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17745o1 124215u1 |
Quadratic twists by: -7 13 |