Atkin-Lehner |
2+ 11+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
115258a |
Isogeny class |
Conductor |
115258 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22471680 |
Modular degree for the optimal curve |
Δ |
-5.1641750602262E+22 |
Discriminant |
Eigenvalues |
2+ 1 1 5 11+ 13+ 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-71997553,235387080580] |
[a1,a2,a3,a4,a6] |
Generators |
[13544314:38681089:2744] |
Generators of the group modulo torsion |
j |
-8550997869217196107729/10698942220888064 |
j-invariant |
L |
7.8510304032532 |
L(r)(E,1)/r! |
Ω |
0.11211198108976 |
Real period |
R |
8.7535586379467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8866k1 |
Quadratic twists by: 13 |