Atkin-Lehner |
2- 3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150eq |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1641600 |
Modular degree for the optimal curve |
Δ |
-960679683253125000 = -1 · 23 · 39 · 58 · 11 · 175 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11- 5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-149555,-52110053] |
[a1,a2,a3,a4,a6] |
Generators |
[3505:204338:1] |
Generators of the group modulo torsion |
j |
-48114111915/124947416 |
j-invariant |
L |
13.068572407318 |
L(r)(E,1)/r! |
Ω |
0.11288952322551 |
Real period |
R |
3.858808751955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000398 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84150w1 84150q1 |
Quadratic twists by: -3 5 |