Atkin-Lehner |
2+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
103600n |
Isogeny class |
Conductor |
103600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-191660000000 = -1 · 28 · 57 · 7 · 372 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 5 -3 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1367,7637] |
[a1,a2,a3,a4,a6] |
Generators |
[28:259:1] |
Generators of the group modulo torsion |
j |
70575104/47915 |
j-invariant |
L |
5.6664258385727 |
L(r)(E,1)/r! |
Ω |
0.63472929867998 |
Real period |
R |
2.2318277424675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013358 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51800m1 20720d1 |
Quadratic twists by: -4 5 |