Atkin-Lehner |
2+ 3+ 5- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
72150v |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
62818560 |
Modular degree for the optimal curve |
Δ |
-2.6158834719601E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -5 -1 13- -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1212818450,-16259420023500] |
[a1,a2,a3,a4,a6] |
Generators |
[102644:30619526:1] |
Generators of the group modulo torsion |
j |
-505069406822897653257495625/66966616882179735552 |
j-invariant |
L |
2.1407597857675 |
L(r)(E,1)/r! |
Ω |
0.01279137277232 |
Real period |
R |
2.3244397091891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984212 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72150cl1 |
Quadratic twists by: 5 |