Atkin-Lehner |
2- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97216by |
Isogeny class |
Conductor |
97216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-655864269111296 = -1 · 219 · 79 · 31 |
Discriminant |
Eigenvalues |
2- -3 -3 7- 6 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50764,-4571504] |
[a1,a2,a3,a4,a6] |
Generators |
[2450:120736:1] |
Generators of the group modulo torsion |
j |
-1367631/62 |
j-invariant |
L |
3.4060895841924 |
L(r)(E,1)/r! |
Ω |
0.15861045563196 |
Real period |
R |
2.6843198695997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001045 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97216be1 24304s1 97216ch1 |
Quadratic twists by: -4 8 -7 |