Atkin-Lehner |
5+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
84835b |
Isogeny class |
Conductor |
84835 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-276394550875 = -1 · 53 · 196 · 47 |
Discriminant |
Eigenvalues |
-2 -2 5+ -2 0 -3 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1324,-16770] |
[a1,a2,a3,a4,a6] |
Generators |
[25:180:1] |
Generators of the group modulo torsion |
j |
5451776/5875 |
j-invariant |
L |
1.0647178463745 |
L(r)(E,1)/r! |
Ω |
0.52869009176713 |
Real period |
R |
1.0069394732601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012499 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
235c1 |
Quadratic twists by: -19 |