Atkin-Lehner |
3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
75645m |
Isogeny class |
Conductor |
75645 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2644992 |
Modular degree for the optimal curve |
Δ |
-9.8229552052993E+19 |
Discriminant |
Eigenvalues |
2 3- 5+ -1 0 5 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2274393,-1403696777] |
[a1,a2,a3,a4,a6] |
Generators |
[77043134437085894:11057751176386364933:3719552173784] |
Generators of the group modulo torsion |
j |
-223522816/16875 |
j-invariant |
L |
12.605173618617 |
L(r)(E,1)/r! |
Ω |
0.06120314307417 |
Real period |
R |
25.744538976007 |
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 |
25215d1 75645l1 |
Quadratic twists by: -3 41 |