Atkin-Lehner |
2+ 5+ 31+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
94550b |
Isogeny class |
Conductor |
94550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
58752 |
Modular degree for the optimal curve |
Δ |
-715176200 = -1 · 23 · 52 · 312 · 612 |
Discriminant |
Eigenvalues |
2+ -1 5+ 4 -5 2 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1380,-20360] |
[a1,a2,a3,a4,a6] |
Generators |
[61:326:1] |
Generators of the group modulo torsion |
j |
-11638917726385/28607048 |
j-invariant |
L |
4.2294008939099 |
L(r)(E,1)/r! |
Ω |
0.39155689018638 |
Real period |
R |
2.7003744598328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999777427 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94550s1 |
Quadratic twists by: 5 |