Atkin-Lehner |
2+ 5+ 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
53650b |
Isogeny class |
Conductor |
53650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-104785156250000 = -1 · 24 · 514 · 29 · 37 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 5 0 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,8099,405448] |
[a1,a2,a3,a4,a6] |
Generators |
[467:10066:1] |
Generators of the group modulo torsion |
j |
3760754329151/6706250000 |
j-invariant |
L |
6.4809193412461 |
L(r)(E,1)/r! |
Ω |
0.40904283676285 |
Real period |
R |
3.9610272804732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10730c1 |
Quadratic twists by: 5 |