Atkin-Lehner |
7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
108241h |
Isogeny class |
Conductor |
108241 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-4189632539561 = -1 · 79 · 473 |
Discriminant |
Eigenvalues |
-1 -3 -3 7- -1 6 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-422169,-105473406] |
[a1,a2,a3,a4,a6] |
Generators |
[772:4930:1] |
Generators of the group modulo torsion |
j |
-1986121593 |
j-invariant |
L |
1.5455408900749 |
L(r)(E,1)/r! |
Ω |
0.093647899634349 |
Real period |
R |
4.1259357391803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000168696 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108241e1 108241g1 |
Quadratic twists by: -7 -47 |