Atkin-Lehner |
2+ 3+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
94050g |
Isogeny class |
Conductor |
94050 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
107136 |
Modular degree for the optimal curve |
Δ |
-5092807500 = -1 · 22 · 33 · 54 · 11 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11+ 5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1767,29241] |
[a1,a2,a3,a4,a6] |
Generators |
[24:-27:1] |
Generators of the group modulo torsion |
j |
-36168277275/301796 |
j-invariant |
L |
4.3127500496569 |
L(r)(E,1)/r! |
Ω |
1.3704807636763 |
Real period |
R |
0.78672210376553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026384 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
94050co2 94050cj1 |
Quadratic twists by: -3 5 |