Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
23400s |
Isogeny class |
Conductor |
23400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-1151455500000000 = -1 · 28 · 311 · 59 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 3 13- -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23700,-2153500] |
[a1,a2,a3,a4,a6] |
Generators |
[190:450:1] |
Generators of the group modulo torsion |
j |
-504871936/394875 |
j-invariant |
L |
6.2246191703457 |
L(r)(E,1)/r! |
Ω |
0.18612511286385 |
Real period |
R |
2.0901999314364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46800bg1 7800q1 4680o1 |
Quadratic twists by: -4 -3 5 |