Atkin-Lehner |
2- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
59200cq |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
50653000000 = 26 · 56 · 373 |
Discriminant |
Eigenvalues |
2- -3 5+ -3 -3 6 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6550,-203750] |
[a1,a2,a3,a4,a6] |
j |
31077609984/50653 |
j-invariant |
L |
1.0614798153011 |
L(r)(E,1)/r! |
Ω |
0.53073990776269 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59200co1 29600h1 2368p1 |
Quadratic twists by: -4 8 5 |