Atkin-Lehner |
3- 5- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
125715ba |
Isogeny class |
Conductor |
125715 |
Conductor |
∏ cp |
39 |
Product of Tamagawa factors cp |
deg |
64443600 |
Modular degree for the optimal curve |
Δ |
-8.2407270120165E+27 |
Discriminant |
Eigenvalues |
0 3- 5- -2 0 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-839831495,-10336184573251] |
[a1,a2,a3,a4,a6] |
Generators |
[3624545206:308211349927:97336] |
Generators of the group modulo torsion |
j |
-32494583208065204224/4087674575890875 |
j-invariant |
L |
7.5690587648899 |
L(r)(E,1)/r! |
Ω |
0.013924422634021 |
Real period |
R |
13.937987618587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999793906 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125715k1 |
Quadratic twists by: 17 |