Atkin-Lehner |
2+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
122018k |
Isogeny class |
Conductor |
122018 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-13939824392 = -1 · 23 · 136 · 192 |
Discriminant |
Eigenvalues |
2+ -1 0 4 -3 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,335,5309] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-87:1] [313:5402:1] |
Generators of the group modulo torsion |
j |
2375/8 |
j-invariant |
L |
7.9722426318661 |
L(r)(E,1)/r! |
Ω |
0.8879112610733 |
Real period |
R |
4.4893239782515 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002602 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
722f1 122018v1 |
Quadratic twists by: 13 -19 |