Atkin-Lehner |
2+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
112112n |
Isogeny class |
Conductor |
112112 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7488 |
Modular degree for the optimal curve |
Δ |
-112112 = -1 · 24 · 72 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 1 0 7- 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,12,-1] |
[a1,a2,a3,a4,a6] |
Generators |
[39:125:27] |
Generators of the group modulo torsion |
j |
224000/143 |
j-invariant |
L |
7.0207546469241 |
L(r)(E,1)/r! |
Ω |
1.9106959346894 |
Real period |
R |
3.6744489352176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005954 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56056n1 112112c1 |
Quadratic twists by: -4 -7 |