Atkin-Lehner |
2+ 3+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
70224n |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
32543045498568528 = 24 · 310 · 73 · 114 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 11- -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-774411,-261902682] |
[a1,a2,a3,a4,a6] |
j |
3210101983120736487424/2033940343660533 |
j-invariant |
L |
2.8969810295057 |
L(r)(E,1)/r! |
Ω |
0.16094339066746 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35112f1 |
Quadratic twists by: -4 |