Atkin-Lehner |
3+ 7+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
10353c |
Isogeny class |
Conductor |
10353 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-1767495219 = -1 · 3 · 72 · 17 · 294 |
Discriminant |
Eigenvalues |
2 3+ 3 7+ 3 5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-294,2903] |
[a1,a2,a3,a4,a6] |
j |
-2819954225152/1767495219 |
j-invariant |
L |
5.5095074013891 |
L(r)(E,1)/r! |
Ω |
1.3773768503473 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31059k1 72471l1 |
Quadratic twists by: -3 -7 |