Atkin-Lehner |
2- 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
33300o |
Isogeny class |
Conductor |
33300 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-131088780000000 = -1 · 28 · 311 · 57 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 -5 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-76800,8210500] |
[a1,a2,a3,a4,a6] |
Generators |
[164:162:1] [-160:4050:1] |
Generators of the group modulo torsion |
j |
-17179869184/44955 |
j-invariant |
L |
7.9654310837649 |
L(r)(E,1)/r! |
Ω |
0.58668003682999 |
Real period |
R |
0.28285687341341 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11100j1 6660b1 |
Quadratic twists by: -3 5 |