Atkin-Lehner |
2+ 3- 5- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
23430d |
Isogeny class |
Conductor |
23430 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
42754314240 = 212 · 35 · 5 · 112 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1563,-21722] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:30:1] |
Generators of the group modulo torsion |
j |
421891875225001/42754314240 |
j-invariant |
L |
4.8994784207855 |
L(r)(E,1)/r! |
Ω |
0.7643136916184 |
Real period |
R |
1.2820595717476 |
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 |
70290o1 117150bg1 |
Quadratic twists by: -3 5 |