Atkin-Lehner |
2+ 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
29302c |
Isogeny class |
Conductor |
29302 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
92736 |
Modular degree for the optimal curve |
Δ |
-289659202187264 = -1 · 212 · 72 · 137 · 23 |
Discriminant |
Eigenvalues |
2+ 1 2 7- -1 13+ 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5875,800776] |
[a1,a2,a3,a4,a6] |
Generators |
[5347:388366:1] |
Generators of the group modulo torsion |
j |
457780726602983/5911412289536 |
j-invariant |
L |
5.2782170771444 |
L(r)(E,1)/r! |
Ω |
0.40500555311559 |
Real period |
R |
6.5162280326043 |
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 |
29302a1 |
Quadratic twists by: -7 |