Atkin-Lehner |
2- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
97216bh |
Isogeny class |
Conductor |
97216 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-156093120512 = -1 · 221 · 74 · 31 |
Discriminant |
Eigenvalues |
2- 3 0 7+ 4 -1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,980,-14896] |
[a1,a2,a3,a4,a6] |
Generators |
[462:2240:27] |
Generators of the group modulo torsion |
j |
165375/248 |
j-invariant |
L |
13.226428239061 |
L(r)(E,1)/r! |
Ω |
0.5426950774677 |
Real period |
R |
2.0309790863545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005903 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97216b1 24304j1 97216bx1 |
Quadratic twists by: -4 8 -7 |