Atkin-Lehner |
2+ 5+ 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
88550a |
Isogeny class |
Conductor |
88550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
38707200 |
Modular degree for the optimal curve |
Δ |
-1.4568903939251E+26 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 11+ 0 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,87120250,-489128363500] |
[a1,a2,a3,a4,a6] |
Generators |
[673413415573677828321174343848168970657020:31543019708953892531725172469800873666057090:137765802406187691456694063271164338993] |
Generators of the group modulo torsion |
j |
4680163414260616959361439/9324098521120768000000 |
j-invariant |
L |
7.2291669395149 |
L(r)(E,1)/r! |
Ω |
0.03023915174064 |
Real period |
R |
59.766614734146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016093 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17710l1 |
Quadratic twists by: 5 |