Atkin-Lehner |
2- 3- 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
107184cw |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
2488320 |
Modular degree for the optimal curve |
Δ |
40481594133184512 = 222 · 36 · 73 · 113 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4408544,3561313140] |
[a1,a2,a3,a4,a6] |
Generators |
[1204:462:1] |
Generators of the group modulo torsion |
j |
2313392917809464711137/9883201692672 |
j-invariant |
L |
8.4795176555613 |
L(r)(E,1)/r! |
Ω |
0.31956075028896 |
Real period |
R |
0.491387332498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004908 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398w1 |
Quadratic twists by: -4 |