Atkin-Lehner |
2+ 3+ 5+ 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
103230a |
Isogeny class |
Conductor |
103230 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
157696 |
Modular degree for the optimal curve |
Δ |
-2909916610560 = -1 · 214 · 33 · 5 · 312 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 2 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3540,-114480] |
[a1,a2,a3,a4,a6] |
Generators |
[4269:46613:27] |
Generators of the group modulo torsion |
j |
-181735069279707/107774689280 |
j-invariant |
L |
4.7568005922896 |
L(r)(E,1)/r! |
Ω |
0.3012766387293 |
Real period |
R |
3.9472033146425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008878 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103230p1 |
Quadratic twists by: -3 |