Atkin-Lehner |
2+ 3+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
98880a |
Isogeny class |
Conductor |
98880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-72932970888000 = -1 · 26 · 34 · 53 · 1034 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9964,-152610] |
[a1,a2,a3,a4,a6] |
Generators |
[677845:30163930:343] |
Generators of the group modulo torsion |
j |
1709233151678144/1139577670125 |
j-invariant |
L |
4.0190773415362 |
L(r)(E,1)/r! |
Ω |
0.34936533362468 |
Real period |
R |
11.503938524253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052283 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98880s1 49440e2 |
Quadratic twists by: -4 8 |