Atkin-Lehner |
3+ 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
29325j |
Isogeny class |
Conductor |
29325 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
8610656220703125 = 33 · 510 · 175 · 23 |
Discriminant |
Eigenvalues |
0 3+ 5+ 3 6 5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-236283,-43902907] |
[a1,a2,a3,a4,a6] |
j |
93369052798418944/551081998125 |
j-invariant |
L |
2.1661855658184 |
L(r)(E,1)/r! |
Ω |
0.21661855658202 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87975r1 5865d1 |
Quadratic twists by: -3 5 |