Atkin-Lehner |
2+ 5- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
64130h |
Isogeny class |
Conductor |
64130 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
-204752859337523200 = -1 · 216 · 52 · 119 · 53 |
Discriminant |
Eigenvalues |
2+ -2 5- 4 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-76838,-23269512] |
[a1,a2,a3,a4,a6] |
j |
-21276960011/86835200 |
j-invariant |
L |
1.0456762761056 |
L(r)(E,1)/r! |
Ω |
0.13070953682167 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64130p1 |
Quadratic twists by: -11 |