Atkin-Lehner |
2- 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105966by |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-25879678928619138 = -1 · 2 · 37 · 73 · 297 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -5 3 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-318056,-69393315] |
[a1,a2,a3,a4,a6] |
Generators |
[206516:11433603:64] |
Generators of the group modulo torsion |
j |
-8205738913/59682 |
j-invariant |
L |
7.6961253453075 |
L(r)(E,1)/r! |
Ω |
0.10047432826927 |
Real period |
R |
9.5747409588313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020505 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35322e1 3654h1 |
Quadratic twists by: -3 29 |