Atkin-Lehner |
2+ 23+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
29072a |
Isogeny class |
Conductor |
29072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
37888 |
Modular degree for the optimal curve |
Δ |
42793984 = 210 · 232 · 79 |
Discriminant |
Eigenvalues |
2+ -1 1 -1 -2 -3 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-104600,13055968] |
[a1,a2,a3,a4,a6] |
Generators |
[189:46:1] |
Generators of the group modulo torsion |
j |
123601277937045604/41791 |
j-invariant |
L |
4.0164506734467 |
L(r)(E,1)/r! |
Ω |
1.2132528063351 |
Real period |
R |
0.82762031385263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14536e1 116288s1 |
Quadratic twists by: -4 8 |