Atkin-Lehner |
3- 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23985i |
Isogeny class |
Conductor |
23985 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
865280 |
Modular degree for the optimal curve |
Δ |
-88465607107700355 = -1 · 319 · 5 · 135 · 41 |
Discriminant |
Eigenvalues |
0 3- 5- 0 6 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-21295182,-37824237243] |
[a1,a2,a3,a4,a6] |
Generators |
[9579139889555235627980707432440317291084676290:13480912219738730626823391971239095946796633034421:4836582777103347907447877618063465477896] |
Generators of the group modulo torsion |
j |
-1465008863451482304446464/121351998775995 |
j-invariant |
L |
5.2231537587221 |
L(r)(E,1)/r! |
Ω |
0.035139794535545 |
Real period |
R |
74.319639994462 |
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 |
7995g1 119925y1 |
Quadratic twists by: -3 5 |