Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121968do |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
35684352 |
Modular degree for the optimal curve |
Δ |
1.446955977705E+23 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 11+ 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-287528043,1876496557210] |
[a1,a2,a3,a4,a6] |
Generators |
[5625510:-3996020798:3375] |
Generators of the group modulo torsion |
j |
661452718394879874611/36407410163712 |
j-invariant |
L |
9.8513787942813 |
L(r)(E,1)/r! |
Ω |
0.097535109824952 |
Real period |
R |
12.625426445258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999541996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15246bo1 40656ce1 121968fh1 |
Quadratic twists by: -4 -3 -11 |