Atkin-Lehner |
2- 3+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
98700o |
Isogeny class |
Conductor |
98700 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-11103750000 = -1 · 24 · 33 · 57 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 5 -6 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,342,-4563] |
[a1,a2,a3,a4,a6] |
j |
17643776/44415 |
j-invariant |
L |
2.6373895658772 |
L(r)(E,1)/r! |
Ω |
0.6593473922998 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19740o1 |
Quadratic twists by: 5 |