Atkin-Lehner |
2- 3- 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
93840ci |
Isogeny class |
Conductor |
93840 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
4561920 |
Modular degree for the optimal curve |
Δ |
313892402681250000 = 24 · 33 · 58 · 172 · 235 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-57923545,-169699368982] |
[a1,a2,a3,a4,a6] |
Generators |
[173098:23606625:8] |
Generators of the group modulo torsion |
j |
1343288006614139204356980736/19618275167578125 |
j-invariant |
L |
8.6160972724158 |
L(r)(E,1)/r! |
Ω |
0.0547250001058 |
Real period |
R |
2.6240588518378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018278 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23460d1 |
Quadratic twists by: -4 |