Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
23100s |
Isogeny class |
Conductor |
23100 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-351664474218750000 = -1 · 24 · 312 · 511 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,115467,-24168312] |
[a1,a2,a3,a4,a6] |
Generators |
[228:3750:1] |
Generators of the group modulo torsion |
j |
681010157060096/1406657896875 |
j-invariant |
L |
5.9715072932286 |
L(r)(E,1)/r! |
Ω |
0.15773466558759 |
Real period |
R |
1.5774135822183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92400eo1 69300bh1 4620b1 |
Quadratic twists by: -4 -3 5 |