Atkin-Lehner |
2+ 5+ 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
53650a |
Isogeny class |
Conductor |
53650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-23026580000000000 = -1 · 211 · 510 · 292 · 372 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 -1 6 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,41549,-6529202] |
[a1,a2,a3,a4,a6] |
Generators |
[35734:2372831:8] |
Generators of the group modulo torsion |
j |
812307421775/2357921792 |
j-invariant |
L |
6.345340356277 |
L(r)(E,1)/r! |
Ω |
0.1950548085034 |
Real period |
R |
8.1327658684738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999438 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53650m1 |
Quadratic twists by: 5 |