Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
36432cr |
Isogeny class |
Conductor |
36432 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
9.7062032503804E+20 |
Discriminant |
Eigenvalues |
2- 3- 1 5 11- -5 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3129987,1515254402] |
[a1,a2,a3,a4,a6] |
Generators |
[-329:50094:1] |
Generators of the group modulo torsion |
j |
1135700552684700289/325058782980096 |
j-invariant |
L |
7.5728247891938 |
L(r)(E,1)/r! |
Ω |
0.14565700986751 |
Real period |
R |
0.86651337001455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4554f1 12144p1 |
Quadratic twists by: -4 -3 |