Atkin-Lehner |
2- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129200bv |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
25137152000000 = 218 · 56 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 -4 -6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50075,4306250] |
[a1,a2,a3,a4,a6] |
Generators |
[61:1216:1] |
Generators of the group modulo torsion |
j |
216973458729/392768 |
j-invariant |
L |
2.7333537125389 |
L(r)(E,1)/r! |
Ω |
0.67160932433002 |
Real period |
R |
1.0174641904507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998632618 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16150u1 5168d1 |
Quadratic twists by: -4 5 |