Atkin-Lehner |
2- 3+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
98700i |
Isogeny class |
Conductor |
98700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7464960 |
Modular degree for the optimal curve |
Δ |
127859681250000 = 24 · 33 · 58 · 73 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-170479533,-856697853438] |
[a1,a2,a3,a4,a6] |
Generators |
[735227920258506930176:59562847437177939301673:40007302534660096] |
Generators of the group modulo torsion |
j |
2191797600244894014767104/511438725 |
j-invariant |
L |
2.8179570759943 |
L(r)(E,1)/r! |
Ω |
0.041781256134607 |
Real period |
R |
33.72274236816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19740r1 |
Quadratic twists by: 5 |