Atkin-Lehner |
5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
69575v |
Isogeny class |
Conductor |
69575 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
11958203125 = 58 · 113 · 23 |
Discriminant |
Eigenvalues |
-2 -3 5- 3 11+ -4 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1375,18906] |
[a1,a2,a3,a4,a6] |
Generators |
[0:137:1] |
Generators of the group modulo torsion |
j |
552960/23 |
j-invariant |
L |
1.7558426698028 |
L(r)(E,1)/r! |
Ω |
1.2579747443446 |
Real period |
R |
0.23262823514673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011314 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69575a1 69575u1 |
Quadratic twists by: 5 -11 |