Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99372l |
Isogeny class |
Conductor |
99372 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-1636368187394304 = -1 · 28 · 38 · 78 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -2 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4884,1940184] |
[a1,a2,a3,a4,a6] |
Generators |
[390:7938:1] |
Generators of the group modulo torsion |
j |
2530736/321489 |
j-invariant |
L |
4.8448668668737 |
L(r)(E,1)/r! |
Ω |
0.36438726500245 |
Real period |
R |
1.1079940073246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999902089 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14196i1 99372i1 |
Quadratic twists by: -7 13 |