Atkin-Lehner |
2+ 7- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
72226b |
Isogeny class |
Conductor |
72226 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
233472 |
Modular degree for the optimal curve |
Δ |
12925632563536 = 24 · 77 · 114 · 67 |
Discriminant |
Eigenvalues |
2+ -1 3 7- 11- 5 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12716,518848] |
[a1,a2,a3,a4,a6] |
Generators |
[132:-1144:1] |
Generators of the group modulo torsion |
j |
1933038007993/109866064 |
j-invariant |
L |
5.2186459600879 |
L(r)(E,1)/r! |
Ω |
0.69878238441266 |
Real period |
R |
0.46676244252365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989129 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10318b1 |
Quadratic twists by: -7 |