Atkin-Lehner |
2+ 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
29302d |
Isogeny class |
Conductor |
29302 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
158400 |
Modular degree for the optimal curve |
Δ |
-13695973744544 = -1 · 25 · 76 · 13 · 234 |
Discriminant |
Eigenvalues |
2+ 3 3 7- -2 13+ -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2147,-174427] |
[a1,a2,a3,a4,a6] |
Generators |
[23586:239459:216] |
Generators of the group modulo torsion |
j |
9300746727/116413856 |
j-invariant |
L |
8.6415227240406 |
L(r)(E,1)/r! |
Ω |
0.34660677902612 |
Real period |
R |
6.2329441076725 |
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 |
598b1 |
Quadratic twists by: -7 |