Atkin-Lehner |
2- 3- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97650et |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-404974080000 = -1 · 212 · 36 · 54 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1795,-9403] |
[a1,a2,a3,a4,a6] |
Generators |
[15:136:1] |
Generators of the group modulo torsion |
j |
1404547175/888832 |
j-invariant |
L |
10.13794883383 |
L(r)(E,1)/r! |
Ω |
0.54388068626803 |
Real period |
R |
0.77666764994554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006826 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10850q1 97650t1 |
Quadratic twists by: -3 5 |