Atkin-Lehner |
2+ 3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
45570x |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
1411200 |
Modular degree for the optimal curve |
Δ |
-7.6130277763059E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1022261,134113046] |
[a1,a2,a3,a4,a6] |
Generators |
[690:33832:1] |
Generators of the group modulo torsion |
j |
20493936211043351/13206054773280 |
j-invariant |
L |
4.4796385406606 |
L(r)(E,1)/r! |
Ω |
0.12073496681419 |
Real period |
R |
1.7668130998995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45570n1 |
Quadratic twists by: -7 |