Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400fl |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
788480 |
Modular degree for the optimal curve |
Δ |
-73693152000000000 = -1 · 214 · 311 · 59 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 3 13+ 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-611333,-184236963] |
[a1,a2,a3,a4,a6] |
Generators |
[18236277118264650324404:355685689704586224800125:16668002168505900737] |
Generators of the group modulo torsion |
j |
-789601498112/2302911 |
j-invariant |
L |
5.8784321199259 |
L(r)(E,1)/r! |
Ω |
0.085354059505583 |
Real period |
R |
34.435574324039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62400dj1 15600x1 62400ib1 |
Quadratic twists by: -4 8 5 |