Atkin-Lehner |
2- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
36400cr |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-71653836800000000 = -1 · 217 · 58 · 72 · 134 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 1 13+ 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-70208,14758912] |
[a1,a2,a3,a4,a6] |
j |
-23920470625/44783648 |
j-invariant |
L |
2.4692507831421 |
L(r)(E,1)/r! |
Ω |
0.30865634789493 |
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 |
4550v1 36400bm1 |
Quadratic twists by: -4 5 |