Atkin-Lehner |
2+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96824d |
Isogeny class |
Conductor |
96824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-10206557111296 = -1 · 210 · 79 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ -2 -3 7- -5 13- 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-134472,-19025504] |
[a1,a2,a3,a4,a6] |
Generators |
[2060:91924:1] |
Generators of the group modulo torsion |
j |
-2232206341348/84721 |
j-invariant |
L |
3.2743176020671 |
L(r)(E,1)/r! |
Ω |
0.12465518135056 |
Real period |
R |
3.2833749823194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999119323 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13832c1 |
Quadratic twists by: -7 |