Atkin-Lehner |
3+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
103635c |
Isogeny class |
Conductor |
103635 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
132916092317572725 = 33 · 52 · 79 · 474 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 2 6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-242265,42473556] |
[a1,a2,a3,a4,a6] |
Generators |
[-528:5058:1] |
Generators of the group modulo torsion |
j |
1443280103901/121992025 |
j-invariant |
L |
8.4021106415097 |
L(r)(E,1)/r! |
Ω |
0.32063884616159 |
Real period |
R |
3.2755352043026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016372 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103635h2 103635f2 |
Quadratic twists by: -3 -7 |