Atkin-Lehner |
2- 3+ 19- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
70452c |
Isogeny class |
Conductor |
70452 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-616314096 = -1 · 24 · 39 · 19 · 103 |
Discriminant |
Eigenvalues |
2- 3+ -2 3 3 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-621,-6075] |
[a1,a2,a3,a4,a6] |
Generators |
[36:135:1] |
Generators of the group modulo torsion |
j |
-84098304/1957 |
j-invariant |
L |
6.512637845516 |
L(r)(E,1)/r! |
Ω |
0.47752820289527 |
Real period |
R |
2.2730377690266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996591 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70452a1 |
Quadratic twists by: -3 |