Atkin-Lehner |
2- 3+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
118440bo |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-1144386941040 = -1 · 24 · 39 · 5 · 7 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -1 -6 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-936603,348884307] |
[a1,a2,a3,a4,a6] |
Generators |
[553:235:1] |
Generators of the group modulo torsion |
j |
-288522090718403328/3633805 |
j-invariant |
L |
6.0440184267759 |
L(r)(E,1)/r! |
Ω |
0.61300739445084 |
Real period |
R |
0.82163479745672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999176489 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118440g1 |
Quadratic twists by: -3 |