Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400cs |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
221743575000000 = 26 · 36 · 58 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -5 1 3 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17208,-485838] |
[a1,a2,a3,a4,a6] |
Generators |
[171:1242:1] |
Generators of the group modulo torsion |
j |
22542399040/8869743 |
j-invariant |
L |
4.4925112925346 |
L(r)(E,1)/r! |
Ω |
0.43112423806475 |
Real period |
R |
1.7367427159933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025936 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400ez1 55200bk1 110400di1 |
Quadratic twists by: -4 8 5 |