Atkin-Lehner |
2+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96824b |
Isogeny class |
Conductor |
96824 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
3732480 |
Modular degree for the optimal curve |
Δ |
-1.8584379891351E+19 |
Discriminant |
Eigenvalues |
2+ -2 2 7- 0 13- 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8951532,10307572057] |
[a1,a2,a3,a4,a6] |
Generators |
[1704:-2197:1] |
Generators of the group modulo torsion |
j |
-42141272308261088512/9872788916263 |
j-invariant |
L |
5.402742153596 |
L(r)(E,1)/r! |
Ω |
0.21207572104271 |
Real period |
R |
0.70765370962706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001436 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13832b1 |
Quadratic twists by: -7 |