Atkin-Lehner |
2+ 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950s |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
15054913125000000 = 26 · 35 · 510 · 73 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -6 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14513650,21275984500] |
[a1,a2,a3,a4,a6] |
Generators |
[2220:590:1] [741:104171:1] |
Generators of the group modulo torsion |
j |
63086952699119724103/2809080000 |
j-invariant |
L |
6.9945507075558 |
L(r)(E,1)/r! |
Ω |
0.2934197014632 |
Real period |
R |
2.9797550527335 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990cb2 124950di2 |
Quadratic twists by: 5 -7 |