Atkin-Lehner |
3- 7+ 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
71757l |
Isogeny class |
Conductor |
71757 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
293760 |
Modular degree for the optimal curve |
Δ |
-28231719815691 = -1 · 36 · 76 · 173 · 67 |
Discriminant |
Eigenvalues |
-2 3- -2 7+ -5 -4 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,4839,-220374] |
[a1,a2,a3,a4,a6] |
Generators |
[198:2915:1] [84:882:1] |
Generators of the group modulo torsion |
j |
17189492314112/38726638979 |
j-invariant |
L |
4.2392770451901 |
L(r)(E,1)/r! |
Ω |
0.34471757817906 |
Real period |
R |
2.0496377873037 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000208 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7973c1 |
Quadratic twists by: -3 |