Atkin-Lehner |
2- 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
55200bp |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
908261683200 = 212 · 36 · 52 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 -1 3 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2753,-30543] |
[a1,a2,a3,a4,a6] |
j |
22542399040/8869743 |
j-invariant |
L |
2.7266690930448 |
L(r)(E,1)/r! |
Ω |
0.68166727339463 |
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 |
55200be1 110400di1 55200bk1 |
Quadratic twists by: -4 8 5 |