Atkin-Lehner |
2+ 3+ 5+ 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
103230b |
Isogeny class |
Conductor |
103230 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1088640 |
Modular degree for the optimal curve |
Δ |
-52207927312500000 = -1 · 25 · 39 · 59 · 31 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 -5 -2 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,14565,-10976059] |
[a1,a2,a3,a4,a6] |
Generators |
[6699:72371:27] |
Generators of the group modulo torsion |
j |
17359895796957/2652437500000 |
j-invariant |
L |
4.3026961863222 |
L(r)(E,1)/r! |
Ω |
0.16779810747413 |
Real period |
R |
6.4105254686968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046655 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103230q1 |
Quadratic twists by: -3 |