Atkin-Lehner |
2- 3+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
98700h |
Isogeny class |
Conductor |
98700 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-2403762007500000000 = -1 · 28 · 33 · 510 · 73 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -3 1 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1298333,-573845463] |
[a1,a2,a3,a4,a6] |
Generators |
[4968:339951:1] |
Generators of the group modulo torsion |
j |
-96814927667200/961504803 |
j-invariant |
L |
3.8600150490513 |
L(r)(E,1)/r! |
Ω |
0.070675002177452 |
Real period |
R |
6.0684902359413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000855 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98700bo2 |
Quadratic twists by: 5 |