Atkin-Lehner |
3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
90405bt |
Isogeny class |
Conductor |
90405 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3538944 |
Modular degree for the optimal curve |
Δ |
348915877605225 = 310 · 52 · 78 · 41 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-37376964,87963051595] |
[a1,a2,a3,a4,a6] |
Generators |
[545226:402293627:1] |
Generators of the group modulo torsion |
j |
67331767795986521521/4068225 |
j-invariant |
L |
7.3356544122102 |
L(r)(E,1)/r! |
Ω |
0.29578551024217 |
Real period |
R |
12.400293720911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001943 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30135e1 12915e1 |
Quadratic twists by: -3 -7 |