Atkin-Lehner |
2- 3+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
21462z |
Isogeny class |
Conductor |
21462 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
309181572 = 22 · 32 · 76 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-638,5879] |
[a1,a2,a3,a4,a6] |
Generators |
[21:37:1] |
Generators of the group modulo torsion |
j |
244140625/2628 |
j-invariant |
L |
6.8696761201659 |
L(r)(E,1)/r! |
Ω |
1.7293611256546 |
Real period |
R |
1.9861890088358 |
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 |
64386p1 438b1 |
Quadratic twists by: -3 -7 |