Atkin-Lehner |
2+ 3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
70224j |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
146426590464 = 28 · 3 · 7 · 11 · 195 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 11+ -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-58737,-5459619] |
[a1,a2,a3,a4,a6] |
Generators |
[-17420:361:125] |
Generators of the group modulo torsion |
j |
87544007615362048/571978869 |
j-invariant |
L |
3.679598507082 |
L(r)(E,1)/r! |
Ω |
0.3066699119492 |
Real period |
R |
2.3997127623008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986173 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35112x1 |
Quadratic twists by: -4 |