Atkin-Lehner |
5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
29575u |
Isogeny class |
Conductor |
29575 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
193440 |
Modular degree for the optimal curve |
Δ |
-11152568451171875 = -1 · 59 · 7 · 138 |
Discriminant |
Eigenvalues |
0 -1 5- 7- 5 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-183083,-30516432] |
[a1,a2,a3,a4,a6] |
Generators |
[914452:17226772:1331] |
Generators of the group modulo torsion |
j |
-425984/7 |
j-invariant |
L |
4.0131860326497 |
L(r)(E,1)/r! |
Ω |
0.11528785213702 |
Real period |
R |
5.8016896522627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29575o1 29575p1 |
Quadratic twists by: 5 13 |