Atkin-Lehner |
7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
108241b |
Isogeny class |
Conductor |
108241 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19077120 |
Modular degree for the optimal curve |
Δ |
-2.4052244267574E+24 |
Discriminant |
Eigenvalues |
-1 1 3 7- -3 -6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,26625031,-52642436134] |
[a1,a2,a3,a4,a6] |
Generators |
[1367356055:1078070185087:2197] |
Generators of the group modulo torsion |
j |
1645957774943/1896619529 |
j-invariant |
L |
4.8020030735622 |
L(r)(E,1)/r! |
Ω |
0.043934079584905 |
Real period |
R |
13.662523259085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15463a1 2303a1 |
Quadratic twists by: -7 -47 |