Atkin-Lehner |
2+ 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
97088b |
Isogeny class |
Conductor |
97088 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
29696 |
Modular degree for the optimal curve |
Δ |
-97088 = -1 · 26 · 37 · 41 |
Discriminant |
Eigenvalues |
2+ -1 0 4 3 -5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2228,41230] |
[a1,a2,a3,a4,a6] |
Generators |
[35:70:1] |
Generators of the group modulo torsion |
j |
-19119838024000/1517 |
j-invariant |
L |
6.7752874613142 |
L(r)(E,1)/r! |
Ω |
2.5720721610516 |
Real period |
R |
2.6341747205965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999928006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97088a1 48544a1 |
Quadratic twists by: -4 8 |