Atkin-Lehner |
2- 3+ 37- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
40626k |
Isogeny class |
Conductor |
40626 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
5515776 |
Modular degree for the optimal curve |
Δ |
-4.0163733549201E+23 |
Discriminant |
Eigenvalues |
2- 3+ -2 -3 3 5 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1606834,-30481566883] |
[a1,a2,a3,a4,a6] |
Generators |
[190389:82979851:1] |
Generators of the group modulo torsion |
j |
16993124502680195235549/14875456870074332217344 |
j-invariant |
L |
7.9480466868707 |
L(r)(E,1)/r! |
Ω |
0.044184902739354 |
Real period |
R |
2.1414464567968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40626b1 |
Quadratic twists by: -3 |