Atkin-Lehner |
2- 3- 5- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
76590ci |
Isogeny class |
Conductor |
76590 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
400896 |
Modular degree for the optimal curve |
Δ |
-121305354888330 = -1 · 2 · 39 · 5 · 233 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 3 -4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-58802,5528459] |
[a1,a2,a3,a4,a6] |
Generators |
[1302:3341:8] |
Generators of the group modulo torsion |
j |
-30843634846125529/166399663770 |
j-invariant |
L |
12.280464374701 |
L(r)(E,1)/r! |
Ω |
0.59188572531135 |
Real period |
R |
1.7290027235489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000129 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25530o1 |
Quadratic twists by: -3 |