Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
49800bc |
Isogeny class |
Conductor |
49800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-113899970400000000 = -1 · 211 · 3 · 58 · 834 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,22592,-16177312] |
[a1,a2,a3,a4,a6] |
Generators |
[402450466917877027:7162833919578275112:1081973118630781] |
Generators of the group modulo torsion |
j |
39849102862/3559374075 |
j-invariant |
L |
7.899427165548 |
L(r)(E,1)/r! |
Ω |
0.15814677126402 |
Real period |
R |
24.974987166641 |
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 |
99600d3 9960a4 |
Quadratic twists by: -4 5 |