Atkin-Lehner |
2+ 3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680bg |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-20942712000 = -1 · 26 · 39 · 53 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -6 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20935,1172917] |
[a1,a2,a3,a4,a6] |
Generators |
[84:5:1] |
Generators of the group modulo torsion |
j |
-15855625465767424/327229875 |
j-invariant |
L |
4.7758856487933 |
L(r)(E,1)/r! |
Ω |
1.1178352197127 |
Real period |
R |
1.4241471864335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992522 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127680dd1 63840br1 |
Quadratic twists by: -4 8 |