Atkin-Lehner |
2+ 5+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
40850b |
Isogeny class |
Conductor |
40850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-94414562500 = -1 · 22 · 56 · 19 · 433 |
Discriminant |
Eigenvalues |
2+ -2 5+ -3 -4 -2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6926,221748] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:576:1] [47:-49:1] |
Generators of the group modulo torsion |
j |
-2351045349073/6042532 |
j-invariant |
L |
4.0971080817656 |
L(r)(E,1)/r! |
Ω |
1.0720989845868 |
Real period |
R |
0.31846469252273 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1634b1 |
Quadratic twists by: 5 |