Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
89376n |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-327058467434496 = -1 · 212 · 36 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ -4 0 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26525,1867851] |
[a1,a2,a3,a4,a6] |
Generators |
[-131:1764:1] |
Generators of the group modulo torsion |
j |
-87410176/13851 |
j-invariant |
L |
8.2410255460336 |
L(r)(E,1)/r! |
Ω |
0.52281675519313 |
Real period |
R |
0.43785394039717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961444 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89376bd1 89376g1 |
Quadratic twists by: -4 -7 |