Atkin-Lehner |
2+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
61600z |
Isogeny class |
Conductor |
61600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-5282200000000 = -1 · 29 · 58 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 11+ -3 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-417208,103584588] |
[a1,a2,a3,a4,a6] |
Generators |
[383:350:1] |
Generators of the group modulo torsion |
j |
-40156202887880/26411 |
j-invariant |
L |
3.6351348450884 |
L(r)(E,1)/r! |
Ω |
0.63209577793642 |
Real period |
R |
0.47924367525722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000081 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61600x1 123200hs1 61600bd1 |
Quadratic twists by: -4 8 5 |