Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
42350c |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
-27042830478540800 = -1 · 216 · 52 · 7 · 119 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7+ 11+ 6 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,54488,-6229184] |
[a1,a2,a3,a4,a6] |
Generators |
[50736:2189416:27] |
Generators of the group modulo torsion |
j |
303492285/458752 |
j-invariant |
L |
2.7243122293864 |
L(r)(E,1)/r! |
Ω |
0.19851942448645 |
Real period |
R |
3.4307879901875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999938 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42350cv1 42350ce1 |
Quadratic twists by: 5 -11 |