Atkin-Lehner |
2+ 3+ 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
61320c |
Isogeny class |
Conductor |
61320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8294400 |
Modular degree for the optimal curve |
Δ |
2.150964550377E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41337196,74077498996] |
[a1,a2,a3,a4,a6] |
j |
30514538037679793147671504/8402205274909969658625 |
j-invariant |
L |
0.30730856348333 |
L(r)(E,1)/r! |
Ω |
0.076827141733596 |
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 |
122640p1 |
Quadratic twists by: -4 |