Atkin-Lehner |
3+ 7- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
18249f |
Isogeny class |
Conductor |
18249 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
216000 |
Modular degree for the optimal curve |
Δ |
-685543170768070923 = -1 · 310 · 73 · 11 · 795 |
Discriminant |
Eigenvalues |
0 3+ -2 7- 11+ 1 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,220331,1443231] |
[a1,a2,a3,a4,a6] |
j |
1182901432413845454848/685543170768070923 |
j-invariant |
L |
1.0319824099498 |
L(r)(E,1)/r! |
Ω |
0.17199706832497 |
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 |
54747t1 127743y1 |
Quadratic twists by: -3 -7 |