Atkin-Lehner |
2- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
115520ch |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-54872000000000000 = -1 · 215 · 512 · 193 |
Discriminant |
Eigenvalues |
2- 1 5- -3 -2 3 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32705,11486975] |
[a1,a2,a3,a4,a6] |
Generators |
[215:3800:1] |
Generators of the group modulo torsion |
j |
-17213481368/244140625 |
j-invariant |
L |
7.6651270197331 |
L(r)(E,1)/r! |
Ω |
0.29945361289249 |
Real period |
R |
0.26663586449352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021657 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115520cj1 57760i1 115520ck1 |
Quadratic twists by: -4 8 -19 |