Atkin-Lehner |
2- 3+ 5+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
116850bq |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
626688 |
Modular degree for the optimal curve |
Δ |
83255625000000 = 26 · 32 · 510 · 192 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-67713,-6795969] |
[a1,a2,a3,a4,a6] |
Generators |
[-155:152:1] [-149:188:1] |
Generators of the group modulo torsion |
j |
2197456331590729/5328360000 |
j-invariant |
L |
14.185299534995 |
L(r)(E,1)/r! |
Ω |
0.29600209773105 |
Real period |
R |
1.9967904003599 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000942 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23370c1 |
Quadratic twists by: 5 |