Atkin-Lehner |
2- 3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150ei |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
627840 |
Modular degree for the optimal curve |
Δ |
-169079624252550 = -1 · 2 · 39 · 52 · 112 · 175 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-238925,-44895653] |
[a1,a2,a3,a4,a6] |
Generators |
[292135484348:5869498863475:367061696] |
Generators of the group modulo torsion |
j |
-3065317685686755/343605394 |
j-invariant |
L |
7.9820419496774 |
L(r)(E,1)/r! |
Ω |
0.10796957245713 |
Real period |
R |
18.482156055694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84150g1 84150z1 |
Quadratic twists by: -3 5 |