Atkin-Lehner |
2- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32300k |
Isogeny class |
Conductor |
32300 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-373388000000 = -1 · 28 · 56 · 173 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ 0 2 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-400933,97580263] |
[a1,a2,a3,a4,a6] |
Generators |
[378:425:1] |
Generators of the group modulo torsion |
j |
-1781887227854848/93347 |
j-invariant |
L |
6.3260656244293 |
L(r)(E,1)/r! |
Ω |
0.71481456416465 |
Real period |
R |
0.49166330383428 |
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 |
129200ci1 1292b1 |
Quadratic twists by: -4 5 |