Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050f |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
20643840 |
Modular degree for the optimal curve |
Δ |
-3.0968531608959E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 4 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,71004558,136555861716] |
[a1,a2,a3,a4,a6] |
Generators |
[-128855477:10498118051:79507] |
Generators of the group modulo torsion |
j |
19441890357117957/15208161280000 |
j-invariant |
L |
5.1842011615895 |
L(r)(E,1)/r! |
Ω |
0.042385073939321 |
Real period |
R |
7.6444970494298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978502 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76050dj1 15210y1 5850bg1 |
Quadratic twists by: -3 5 13 |