Atkin-Lehner |
2+ 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
103600w |
Isogeny class |
Conductor |
103600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9472 |
Modular degree for the optimal curve |
Δ |
-518000 = -1 · 24 · 53 · 7 · 37 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 4 2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28,-77] |
[a1,a2,a3,a4,a6] |
Generators |
[612:1595:64] |
Generators of the group modulo torsion |
j |
-1257728/259 |
j-invariant |
L |
9.2882342637019 |
L(r)(E,1)/r! |
Ω |
1.0233330876006 |
Real period |
R |
4.5382263027513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999940268 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51800e1 103600t1 |
Quadratic twists by: -4 5 |