Atkin-Lehner |
2- 3- 5+ 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
103230u |
Isogeny class |
Conductor |
103230 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1336320 |
Modular degree for the optimal curve |
Δ |
-193053522480750000 = -1 · 24 · 36 · 56 · 315 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 2 -5 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-311513,70258281] |
[a1,a2,a3,a4,a6] |
Generators |
[575:8712:1] |
Generators of the group modulo torsion |
j |
-4585887564298864201/264819646750000 |
j-invariant |
L |
10.843358569382 |
L(r)(E,1)/r! |
Ω |
0.31416993061118 |
Real period |
R |
2.1571444128723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001122 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11470a1 |
Quadratic twists by: -3 |