Atkin-Lehner |
2- 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
119700c |
Isogeny class |
Conductor |
119700 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1492992 |
Modular degree for the optimal curve |
Δ |
-4479393761718750000 = -1 · 24 · 33 · 512 · 76 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,227700,-92843875] |
[a1,a2,a3,a4,a6] |
Generators |
[314188594:28138458789:39304] |
Generators of the group modulo torsion |
j |
193423408054272/663613890625 |
j-invariant |
L |
6.2984403147008 |
L(r)(E,1)/r! |
Ω |
0.12491339352141 |
Real period |
R |
12.60561429252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000126854 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119700d3 23940e1 |
Quadratic twists by: -3 5 |