Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488ir |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
8847360 |
Modular degree for the optimal curve |
Δ |
3394267603550208 = 214 · 33 · 78 · 113 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-115046577,-475000133553] |
[a1,a2,a3,a4,a6] |
Generators |
[152082213:-19248345600:6859] |
Generators of the group modulo torsion |
j |
87364831012240243408/1760913 |
j-invariant |
L |
10.309390171442 |
L(r)(E,1)/r! |
Ω |
0.046097898674744 |
Real period |
R |
12.42451203161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029632 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488x1 25872f1 14784bv1 |
Quadratic twists by: -4 8 -7 |