Atkin-Lehner |
2- 3- 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
103320bl |
Isogeny class |
Conductor |
103320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
315392 |
Modular degree for the optimal curve |
Δ |
-20499167404800 = -1 · 28 · 313 · 52 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 3 -4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19092,-1038476] |
[a1,a2,a3,a4,a6] |
Generators |
[260:-3402:1] |
Generators of the group modulo torsion |
j |
-4123922504704/109842075 |
j-invariant |
L |
7.4101142690641 |
L(r)(E,1)/r! |
Ω |
0.20275616193866 |
Real period |
R |
1.142091408701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012823 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34440j1 |
Quadratic twists by: -3 |