Atkin-Lehner |
5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
29095b |
Isogeny class |
Conductor |
29095 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
154560 |
Modular degree for the optimal curve |
Δ |
-2691940119034375 = -1 · 55 · 11 · 238 |
Discriminant |
Eigenvalues |
-1 -2 5+ -3 11- -3 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,18504,-2299049] |
[a1,a2,a3,a4,a6] |
Generators |
[573:13732:1] |
Generators of the group modulo torsion |
j |
8947391/34375 |
j-invariant |
L |
1.6029056976985 |
L(r)(E,1)/r! |
Ω |
0.23081145580099 |
Real period |
R |
2.3148846636691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29095d1 |
Quadratic twists by: -23 |