Atkin-Lehner |
2- 5+ 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
22220b |
Isogeny class |
Conductor |
22220 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
102528 |
Modular degree for the optimal curve |
Δ |
298705682000 = 24 · 53 · 114 · 1012 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-425001,106501624] |
[a1,a2,a3,a4,a6] |
Generators |
[367:303:1] |
Generators of the group modulo torsion |
j |
530608993935667216384/18669105125 |
j-invariant |
L |
2.223692809769 |
L(r)(E,1)/r! |
Ω |
0.71631789962171 |
Real period |
R |
1.034779302571 |
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 |
88880o1 111100c1 |
Quadratic twists by: -4 5 |