Atkin-Lehner |
3+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
70785g |
Isogeny class |
Conductor |
70785 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2958811711359075 = 33 · 52 · 1110 · 132 |
Discriminant |
Eigenvalues |
1 3+ 5- -2 11- 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-36504,606953] |
[a1,a2,a3,a4,a6] |
j |
112468757283/61858225 |
j-invariant |
L |
3.1366363709387 |
L(r)(E,1)/r! |
Ω |
0.39207954744769 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70785d2 6435d2 |
Quadratic twists by: -3 -11 |