Atkin-Lehner |
2- 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123210cb |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
-723326904513331200 = -1 · 230 · 39 · 52 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -6 -5 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-149663,46631431] |
[a1,a2,a3,a4,a6] |
Generators |
[595:-13258:1] [-295:8212:1] |
Generators of the group modulo torsion |
j |
-13758452548227/26843545600 |
j-invariant |
L |
15.622174657006 |
L(r)(E,1)/r! |
Ω |
0.25423739693589 |
Real period |
R |
0.51205995027125 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999981793 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123210k1 123210l2 |
Quadratic twists by: -3 37 |