Atkin-Lehner |
5+ 7- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
103075i |
Isogeny class |
Conductor |
103075 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1236421023359375 = 57 · 74 · 193 · 312 |
Discriminant |
Eigenvalues |
1 -2 5+ 7- -2 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4571876,-3762994977] |
[a1,a2,a3,a4,a6] |
Generators |
[9117:839466:1] |
Generators of the group modulo torsion |
j |
676373958111878334001/79130945495 |
j-invariant |
L |
4.3670738082663 |
L(r)(E,1)/r! |
Ω |
0.10324664743658 |
Real period |
R |
5.2871859822077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999998162 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20615f2 |
Quadratic twists by: 5 |