Atkin-Lehner |
2- 3+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
101232m |
Isogeny class |
Conductor |
101232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
2097047605248 = 212 · 39 · 19 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -2 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-233955,-43555806] |
[a1,a2,a3,a4,a6] |
Generators |
[24915:619424:27] |
Generators of the group modulo torsion |
j |
17565861949875/26011 |
j-invariant |
L |
6.8620219975973 |
L(r)(E,1)/r! |
Ω |
0.21707834929458 |
Real period |
R |
7.9027019895022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999798965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6327a1 101232l1 |
Quadratic twists by: -4 -3 |