Atkin-Lehner |
5+ 7- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
97825m |
Isogeny class |
Conductor |
97825 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40704 |
Modular degree for the optimal curve |
Δ |
305703125 = 57 · 7 · 13 · 43 |
Discriminant |
Eigenvalues |
0 2 5+ 7- -4 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-533,4843] |
[a1,a2,a3,a4,a6] |
Generators |
[7:37:1] |
Generators of the group modulo torsion |
j |
1073741824/19565 |
j-invariant |
L |
7.971095898379 |
L(r)(E,1)/r! |
Ω |
1.7252222532432 |
Real period |
R |
1.1550824659948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996465 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19565b1 |
Quadratic twists by: 5 |