Atkin-Lehner |
2+ 3+ 7- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
73458c |
Isogeny class |
Conductor |
73458 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165120 |
Modular degree for the optimal curve |
Δ |
-84228254466048 = -1 · 220 · 39 · 7 · 11 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,10758,-105292] |
[a1,a2,a3,a4,a6] |
j |
6995267578125/4279238656 |
j-invariant |
L |
1.4058140173964 |
L(r)(E,1)/r! |
Ω |
0.35145350755809 |
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 |
73458v1 |
Quadratic twists by: -3 |