Atkin-Lehner |
2+ 3+ 5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
97350i |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-888470859375000 = -1 · 23 · 33 · 510 · 112 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- -6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,20350,907500] |
[a1,a2,a3,a4,a6] |
Generators |
[115:2130:1] |
Generators of the group modulo torsion |
j |
59643563154911/56862135000 |
j-invariant |
L |
2.9322428022428 |
L(r)(E,1)/r! |
Ω |
0.32717971065325 |
Real period |
R |
2.2405444904782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033562 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19470bc2 |
Quadratic twists by: 5 |