Atkin-Lehner |
7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
108241c |
Isogeny class |
Conductor |
108241 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2030400 |
Modular degree for the optimal curve |
Δ |
-2801374064469519889 = -1 · 76 · 478 |
Discriminant |
Eigenvalues |
-1 -2 3 7- -6 3 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,105986,-79415883] |
[a1,a2,a3,a4,a6] |
Generators |
[55409:13015336:1] |
Generators of the group modulo torsion |
j |
47 |
j-invariant |
L |
2.856606619197 |
L(r)(E,1)/r! |
Ω |
0.12373781742146 |
Real period |
R |
3.8476603860798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000101805 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2209b1 108241d1 |
Quadratic twists by: -7 -47 |