Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650ef |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-23728950 = -1 · 2 · 37 · 52 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,40,-223] |
[a1,a2,a3,a4,a6] |
Generators |
[54:113:8] |
Generators of the group modulo torsion |
j |
397535/1302 |
j-invariant |
L |
10.677617273902 |
L(r)(E,1)/r! |
Ω |
1.0889989866143 |
Real period |
R |
2.4512459162164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991515 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32550y1 97650ca1 |
Quadratic twists by: -3 5 |