Atkin-Lehner |
2- 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
97088m |
Isogeny class |
Conductor |
97088 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41984 |
Modular degree for the optimal curve |
Δ |
1553408 = 210 · 37 · 41 |
Discriminant |
Eigenvalues |
2- 0 2 -4 0 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2024,-35048] |
[a1,a2,a3,a4,a6] |
Generators |
[-201155900542014:848470692160:7737719666139] |
Generators of the group modulo torsion |
j |
895478740992/1517 |
j-invariant |
L |
7.0412074290291 |
L(r)(E,1)/r! |
Ω |
0.71178195196367 |
Real period |
R |
19.784731525716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023864 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97088e1 24272c1 |
Quadratic twists by: -4 8 |