Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
2010h |
Isogeny class |
Conductor |
2010 |
Conductor |
∏ cp |
196 |
Product of Tamagawa factors cp |
deg |
3136 |
Modular degree for the optimal curve |
Δ |
60018278400 = 214 · 37 · 52 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3266,70596] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:382:1] |
Generators of the group modulo torsion |
j |
3852836363704609/60018278400 |
j-invariant |
L |
4.4479382623869 |
L(r)(E,1)/r! |
Ω |
1.1125002623701 |
Real period |
R |
0.081594812444721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16080p1 64320p1 6030i1 10050c1 |
Quadratic twists by: -4 8 -3 5 |