Atkin-Lehner |
2+ 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
5850d |
Isogeny class |
Conductor |
5850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3168 |
Modular degree for the optimal curve |
Δ |
-13101004800 = -1 · 211 · 39 · 52 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -2 13- 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-312,-5824] |
[a1,a2,a3,a4,a6] |
j |
-6838155/26624 |
j-invariant |
L |
1.0377196473392 |
L(r)(E,1)/r! |
Ω |
0.5188598236696 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46800cf1 5850bf1 5850bh1 76050di1 |
Quadratic twists by: -4 -3 5 13 |