Atkin-Lehner |
2- 7- 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
110768t |
Isogeny class |
Conductor |
110768 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2142720 |
Modular degree for the optimal curve |
Δ |
-5268706766618624 = -1 · 222 · 74 · 233 · 43 |
Discriminant |
Eigenvalues |
2- -3 2 7- 3 -1 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-417619,-103935470] |
[a1,a2,a3,a4,a6] |
j |
-1966547820003866793/1286305362944 |
j-invariant |
L |
2.2535566634003 |
L(r)(E,1)/r! |
Ω |
0.093898241640689 |
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 |
13846b1 |
Quadratic twists by: -4 |