Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22344s |
Isogeny class |
Conductor |
22344 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-324550640644272 = -1 · 24 · 33 · 78 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,15713,425438] |
[a1,a2,a3,a4,a6] |
Generators |
[37:1029:1] |
Generators of the group modulo torsion |
j |
227910944768/172414683 |
j-invariant |
L |
7.4987559089858 |
L(r)(E,1)/r! |
Ω |
0.34703135092602 |
Real period |
R |
1.8006912749564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44688l1 67032cg1 3192b1 |
Quadratic twists by: -4 -3 -7 |