Atkin-Lehner |
5+ 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
83545d |
Isogeny class |
Conductor |
83545 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
423936 |
Modular degree for the optimal curve |
Δ |
-259593341454755 = -1 · 5 · 712 · 112 · 31 |
Discriminant |
Eigenvalues |
2 -1 5+ 7- 11- -2 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-64206,-6288423] |
[a1,a2,a3,a4,a6] |
Generators |
[1526098590:13957813391:4574296] |
Generators of the group modulo torsion |
j |
-248810715099136/2206506995 |
j-invariant |
L |
7.9451963194462 |
L(r)(E,1)/r! |
Ω |
0.14988055517074 |
Real period |
R |
13.252546847502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004691 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11935b1 |
Quadratic twists by: -7 |