Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600x |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-102892262880000 = -1 · 28 · 3 · 54 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 11- 5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4033,499237] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:726:1] |
Generators of the group modulo torsion |
j |
-25600/363 |
j-invariant |
L |
6.3824003290167 |
L(r)(E,1)/r! |
Ω |
0.50533455215406 |
Real period |
R |
1.5787561681477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991942 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72600dz1 6600x1 |
Quadratic twists by: 5 -11 |