Atkin-Lehner |
2- 3+ 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
122640ba |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
870912 |
Modular degree for the optimal curve |
Δ |
-201868344115200 = -1 · 214 · 39 · 52 · 73 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 6 -7 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29176,-2026640] |
[a1,a2,a3,a4,a6] |
Generators |
[1914:17215:8] |
Generators of the group modulo torsion |
j |
-670588189536889/49284263700 |
j-invariant |
L |
4.6612217661567 |
L(r)(E,1)/r! |
Ω |
0.18187798456892 |
Real period |
R |
6.4070726064131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999904729 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15330i1 |
Quadratic twists by: -4 |