Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
42350cc |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
deg |
10644480 |
Modular degree for the optimal curve |
Δ |
1.6961263276141E+25 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-182914755,-931293960253] |
[a1,a2,a3,a4,a6] |
Generators |
[-7461:-130670:1] |
Generators of the group modulo torsion |
j |
18370278334948779/460366807040 |
j-invariant |
L |
8.6477585823748 |
L(r)(E,1)/r! |
Ω |
0.041115066699156 |
Real period |
R |
1.2519681372075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8470a1 42350a1 |
Quadratic twists by: 5 -11 |