Atkin-Lehner |
2+ 3+ 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
5538f |
Isogeny class |
Conductor |
5538 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
410880 |
Modular degree for the optimal curve |
Δ |
-5.5337698946338E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 -4 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5588309,-5099649555] |
[a1,a2,a3,a4,a6] |
Generators |
[172015278838687687623470941185:-70299278254748247439132153846783:1032233715597895981045875] |
Generators of the group modulo torsion |
j |
-19300344879475253746008793/55337698946338258944 |
j-invariant |
L |
2.295497098662 |
L(r)(E,1)/r! |
Ω |
0.049087946987348 |
Real period |
R |
46.762947720214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44304p1 16614t1 71994bc1 |
Quadratic twists by: -4 -3 13 |