Atkin-Lehner |
2- 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49010m |
Isogeny class |
Conductor |
49010 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
361920 |
Modular degree for the optimal curve |
Δ |
-4287684602256250 = -1 · 2 · 55 · 138 · 292 |
Discriminant |
Eigenvalues |
2- -2 5+ 3 3 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,14784,3074746] |
[a1,a2,a3,a4,a6] |
j |
438077471/5256250 |
j-invariant |
L |
2.5835915864423 |
L(r)(E,1)/r! |
Ω |
0.32294894828596 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49010h1 |
Quadratic twists by: 13 |