Atkin-Lehner |
2- 5+ 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
113300f |
Isogeny class |
Conductor |
113300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
342732500000000 = 28 · 510 · 113 · 103 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 11- 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28333,1614537] |
[a1,a2,a3,a4,a6] |
Generators |
[8280:19371:125] |
Generators of the group modulo torsion |
j |
1006182400/137093 |
j-invariant |
L |
10.016148766406 |
L(r)(E,1)/r! |
Ω |
0.51941308878448 |
Real period |
R |
6.427863167066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999807682 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113300k1 |
Quadratic twists by: 5 |