Atkin-Lehner |
2+ 3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45570be |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-1736612183040000000 = -1 · 216 · 3 · 57 · 76 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,109636,-61835014] |
[a1,a2,a3,a4,a6] |
Generators |
[976735561087:-564985604376471:2924207] |
Generators of the group modulo torsion |
j |
1238798620042199/14760960000000 |
j-invariant |
L |
5.1802924279121 |
L(r)(E,1)/r! |
Ω |
0.13033658018577 |
Real period |
R |
19.872749540181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
930d1 |
Quadratic twists by: -7 |