Atkin-Lehner |
2+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
51376f |
Isogeny class |
Conductor |
51376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-19075549168 = -1 · 24 · 137 · 19 |
Discriminant |
Eigenvalues |
2+ -2 0 -2 -4 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1408,20931] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:169:1] [29:73:1] |
Generators of the group modulo torsion |
j |
-4000000/247 |
j-invariant |
L |
6.231625723109 |
L(r)(E,1)/r! |
Ω |
1.2033815437007 |
Real period |
R |
1.2946072165825 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25688b1 3952a1 |
Quadratic twists by: -4 13 |