Atkin-Lehner |
3+ 5- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
21945g |
Isogeny class |
Conductor |
21945 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
77824 |
Modular degree for the optimal curve |
Δ |
-98080076561775 = -1 · 3 · 52 · 7 · 11 · 198 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 11+ -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-43320,3484920] |
[a1,a2,a3,a4,a6] |
Generators |
[48:1208:1] |
Generators of the group modulo torsion |
j |
-8990620838862122881/98080076561775 |
j-invariant |
L |
2.5302078177286 |
L(r)(E,1)/r! |
Ω |
0.60181388269146 |
Real period |
R |
4.2043028426212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
65835n1 109725bv1 |
Quadratic twists by: -3 5 |