Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
72324r |
Isogeny class |
Conductor |
72324 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-58357343582399232 = -1 · 28 · 39 · 710 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 3 4 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-87024,15255268] |
[a1,a2,a3,a4,a6] |
Generators |
[224:2646:1] |
Generators of the group modulo torsion |
j |
-3319595008/2657907 |
j-invariant |
L |
8.2055172106786 |
L(r)(E,1)/r! |
Ω |
0.32281308440243 |
Real period |
R |
1.0591161480803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983244 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24108h1 10332d1 |
Quadratic twists by: -3 -7 |