Atkin-Lehner |
2- 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
51150cn |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
612 |
Product of Tamagawa factors cp |
deg |
28200960 |
Modular degree for the optimal curve |
Δ |
-2.1503662315936E+27 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11- 2 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,237626537,1729141358417] |
[a1,a2,a3,a4,a6] |
Generators |
[89192:27019529:1] |
Generators of the group modulo torsion |
j |
94970451538205961115211351/137623438821988460701800 |
j-invariant |
L |
10.746055071503 |
L(r)(E,1)/r! |
Ω |
0.031395681059431 |
Real period |
R |
0.55927799375525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10230f1 |
Quadratic twists by: 5 |