Atkin-Lehner |
2+ 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
111720n |
Isogeny class |
Conductor |
111720 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-1502142432000 = -1 · 28 · 3 · 53 · 77 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7905,279525] |
[a1,a2,a3,a4,a6] |
Generators |
[145:1470:1] [47:-98:1] |
Generators of the group modulo torsion |
j |
-1814078464/49875 |
j-invariant |
L |
10.823274485478 |
L(r)(E,1)/r! |
Ω |
0.84648689181235 |
Real period |
R |
0.26637729096457 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001602 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15960e1 |
Quadratic twists by: -7 |