Atkin-Lehner |
2- 3+ 5- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
122640bk |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2457600 |
Modular degree for the optimal curve |
Δ |
30145672721203200 = 220 · 38 · 52 · 74 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1467520,-683724800] |
[a1,a2,a3,a4,a6] |
j |
85332829471914084481/7359783379200 |
j-invariant |
L |
1.0973516671032 |
L(r)(E,1)/r! |
Ω |
0.1371689361557 |
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 |
15330bd1 |
Quadratic twists by: -4 |