Atkin-Lehner |
11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31603i |
Isogeny class |
Conductor |
31603 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7488 |
Modular degree for the optimal curve |
Δ |
-347633 = -1 · 112 · 132 · 17 |
Discriminant |
Eigenvalues |
1 1 -2 -3 11- 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-862,9661] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-8:1] [41:188:1] |
Generators of the group modulo torsion |
j |
-418441123633/2057 |
j-invariant |
L |
9.7554228197782 |
L(r)(E,1)/r! |
Ω |
2.6830964493734 |
Real period |
R |
1.8179411370132 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31603c1 |
Quadratic twists by: 13 |