Atkin-Lehner |
3- 5+ 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
42705f |
Isogeny class |
Conductor |
42705 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
117841920 |
Modular degree for the optimal curve |
Δ |
-1.0995806181481E+31 |
Discriminant |
Eigenvalues |
-2 3- 5+ 1 -3 13- 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7320336843,-289082018003202] |
[a1,a2,a3,a4,a6] |
Generators |
[12373762:15364737995:8] |
Generators of the group modulo torsion |
j |
-59509921877072378280612184231936/15083410399837017059326171875 |
j-invariant |
L |
2.5625772526388 |
L(r)(E,1)/r! |
Ω |
0.0080536382552563 |
Real period |
R |
7.9547192567195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14235i1 |
Quadratic twists by: -3 |