Atkin-Lehner |
7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
40733i |
Isogeny class |
Conductor |
40733 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
114240 |
Modular degree for the optimal curve |
Δ |
-18080958213241 = -1 · 710 · 112 · 232 |
Discriminant |
Eigenvalues |
-1 -2 1 7- 11+ -3 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-41020,-3207687] |
[a1,a2,a3,a4,a6] |
Generators |
[259:1757:1] |
Generators of the group modulo torsion |
j |
-14429645772301489/34179505129 |
j-invariant |
L |
2.1614889118965 |
L(r)(E,1)/r! |
Ω |
0.16771000017567 |
Real period |
R |
0.64441264970478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999658 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40733e1 |
Quadratic twists by: -23 |