Atkin-Lehner |
3- 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
90675w |
Isogeny class |
Conductor |
90675 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-286740702421875 = -1 · 36 · 57 · 132 · 313 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 0 13+ 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7050,-845969] |
[a1,a2,a3,a4,a6] |
Generators |
[305:-5038:1] |
Generators of the group modulo torsion |
j |
-3402072064/25173395 |
j-invariant |
L |
4.0773823009012 |
L(r)(E,1)/r! |
Ω |
0.23049017148008 |
Real period |
R |
0.73708534980663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031304 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10075a1 18135s1 |
Quadratic twists by: -3 5 |