Atkin-Lehner |
2+ 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920by |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
14533263360 = 222 · 32 · 5 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11- 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4705,125665] |
[a1,a2,a3,a4,a6] |
j |
43949604889/55440 |
j-invariant |
L |
2.4923482813521 |
L(r)(E,1)/r! |
Ω |
1.246174145723 |
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 |
73920hl1 2310h1 |
Quadratic twists by: -4 8 |