Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
55200bi |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-1117800000000 = -1 · 29 · 35 · 58 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 0 6 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2208,-65412] |
[a1,a2,a3,a4,a6] |
j |
-5955080/5589 |
j-invariant |
L |
1.6765022460702 |
L(r)(E,1)/r! |
Ω |
0.335300449516 |
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 |
55200bv1 110400ch1 55200bo1 |
Quadratic twists by: -4 8 5 |