Atkin-Lehner |
2- 5- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
62320z |
Isogeny class |
Conductor |
62320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-124640000 = -1 · 28 · 54 · 19 · 41 |
Discriminant |
Eigenvalues |
2- 1 5- -2 -2 -1 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,115,-217] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-50:1] [26:145:1] |
Generators of the group modulo torsion |
j |
651321344/486875 |
j-invariant |
L |
11.463126033951 |
L(r)(E,1)/r! |
Ω |
1.039526251522 |
Real period |
R |
1.3784074737363 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15580e1 |
Quadratic twists by: -4 |