Atkin-Lehner |
2- 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370dt |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
85 |
Product of Tamagawa factors cp |
deg |
171360 |
Modular degree for the optimal curve |
Δ |
-506263633920 = -1 · 217 · 35 · 5 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- -6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-380,34320] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:196:1] |
Generators of the group modulo torsion |
j |
-21001392289/1751777280 |
j-invariant |
L |
15.110686186899 |
L(r)(E,1)/r! |
Ω |
0.76541520009657 |
Real period |
R |
0.23225666090111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005176 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95370bz1 |
Quadratic twists by: 17 |