Atkin-Lehner |
2+ 3- 7- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
29526n |
Isogeny class |
Conductor |
29526 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
Δ |
-5559907898212416 = -1 · 26 · 36 · 73 · 193 · 373 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -6 -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3280,-3586498] |
[a1,a2,a3,a4,a6] |
Generators |
[345:-6389:1] |
Generators of the group modulo torsion |
j |
3904231528051847/5559907898212416 |
j-invariant |
L |
3.2107196558439 |
L(r)(E,1)/r! |
Ω |
0.19910820653527 |
Real period |
R |
0.44793059341315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
88578br2 |
Quadratic twists by: -3 |