Atkin-Lehner |
2- 3+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
36252d |
Isogeny class |
Conductor |
36252 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
157043664 = 24 · 33 · 193 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 1 -3 -2 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-432,-3403] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:4:1] [31:114:1] |
Generators of the group modulo torsion |
j |
20639121408/363527 |
j-invariant |
L |
8.659126034349 |
L(r)(E,1)/r! |
Ω |
1.0483173877143 |
Real period |
R |
1.3766705477797 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36252b1 |
Quadratic twists by: -3 |