Atkin-Lehner |
2+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
94640bl |
Isogeny class |
Conductor |
94640 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
16879990400000 = 210 · 55 · 74 · 133 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- -4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15240,691588] |
[a1,a2,a3,a4,a6] |
Generators |
[96:-350:1] [-114:980:1] |
Generators of the group modulo torsion |
j |
174011157652/7503125 |
j-invariant |
L |
8.7196457798632 |
L(r)(E,1)/r! |
Ω |
0.68696050100063 |
Real period |
R |
0.3173270430838 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999396 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47320ba1 94640h1 |
Quadratic twists by: -4 13 |