Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
2850s |
Isogeny class |
Conductor |
2850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
-51300 = -1 · 22 · 33 · 52 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 3 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,7,11] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:2:1] |
Generators of the group modulo torsion |
j |
1503815/2052 |
j-invariant |
L |
4.0118581168314 |
L(r)(E,1)/r! |
Ω |
2.4005942833464 |
Real period |
R |
0.83559686546428 |
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 |
22800cw1 91200db1 8550m1 2850o1 |
Quadratic twists by: -4 8 -3 5 |