Atkin-Lehner |
2+ 3+ 5+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
88350j |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
82575360 |
Modular degree for the optimal curve |
Δ |
-1.4272407650304E+27 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 2 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1620076525,-25165115451875] |
[a1,a2,a3,a4,a6] |
j |
-30096103647001622212284923089/91343408961945600000000 |
j-invariant |
L |
2.3792316362658 |
L(r)(E,1)/r! |
Ω |
0.011896158493069 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17670u1 |
Quadratic twists by: 5 |