Atkin-Lehner |
3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
22365i |
Isogeny class |
Conductor |
22365 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
264960 |
Modular degree for the optimal curve |
Δ |
-33559450768367685 = -1 · 312 · 5 · 7 · 715 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -5 4 8 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-262418,-52421074] |
[a1,a2,a3,a4,a6] |
j |
-2741419489343595481/46034911890765 |
j-invariant |
L |
1.0536303969204 |
L(r)(E,1)/r! |
Ω |
0.10536303969204 |
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 |
7455f1 111825o1 |
Quadratic twists by: -3 5 |