Atkin-Lehner |
2+ 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550by |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3024000 |
Modular degree for the optimal curve |
Δ |
109603279012500000 = 25 · 32 · 58 · 78 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 13+ 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3482700,-2503026000] |
[a1,a2,a3,a4,a6] |
j |
2074568359465/48672 |
j-invariant |
L |
1.3261799502254 |
L(r)(E,1)/r! |
Ω |
0.11051497590046 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550iy1 95550fn1 |
Quadratic twists by: 5 -7 |