Atkin-Lehner |
2- 5+ 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
51850r |
Isogeny class |
Conductor |
51850 |
Conductor |
∏ cp |
1056 |
Product of Tamagawa factors cp |
deg |
30412800 |
Modular degree for the optimal curve |
Δ |
9.0156529873301E+25 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 -2 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-135874313,403592031031] |
[a1,a2,a3,a4,a6] |
Generators |
[82965:3276904:27] |
Generators of the group modulo torsion |
j |
17754799407846103454295241/5770017911891264798720 |
j-invariant |
L |
10.800736570706 |
L(r)(E,1)/r! |
Ω |
0.055697886810749 |
Real period |
R |
0.73453201354938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10370c1 |
Quadratic twists by: 5 |