Atkin-Lehner |
2+ 3- 7- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
88578v |
Isogeny class |
Conductor |
88578 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
15769600 |
Modular degree for the optimal curve |
Δ |
2.1793894163082E+23 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 1 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-97527543,-370008609283] |
[a1,a2,a3,a4,a6] |
Generators |
[-5623:26818:1] |
Generators of the group modulo torsion |
j |
140727196512386480536476273/298956024184936205024 |
j-invariant |
L |
7.176592824443 |
L(r)(E,1)/r! |
Ω |
0.048047762071479 |
Real period |
R |
1.0668837649233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004388 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9842m1 |
Quadratic twists by: -3 |