Atkin-Lehner |
2+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
40376a |
Isogeny class |
Conductor |
40376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6137405269280768 = 211 · 710 · 1032 |
Discriminant |
Eigenvalues |
2+ 2 0 7- -2 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5018008,4328255436] |
[a1,a2,a3,a4,a6] |
j |
57996215424031250/25472209 |
j-invariant |
L |
2.7672258718903 |
L(r)(E,1)/r! |
Ω |
0.34590323398797 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80752h2 5768d2 |
Quadratic twists by: -4 -7 |