Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200hs |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
-338060800000000 = -1 · 215 · 58 · 74 · 11 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11- 3 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1668833,830345537] |
[a1,a2,a3,a4,a6] |
Generators |
[823:3696:1] |
Generators of the group modulo torsion |
j |
-40156202887880/26411 |
j-invariant |
L |
11.682905341837 |
L(r)(E,1)/r! |
Ω |
0.44695921093823 |
Real period |
R |
3.2673298547398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999587784 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200gy1 61600z1 123200ev1 |
Quadratic twists by: -4 8 5 |