Atkin-Lehner |
3+ 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
91575m |
Isogeny class |
Conductor |
91575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
99265869140625 = 33 · 512 · 11 · 372 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 11- 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-269480,-53774478] |
[a1,a2,a3,a4,a6] |
Generators |
[-2059068:1304114:6859] |
Generators of the group modulo torsion |
j |
5130007819771563/235296875 |
j-invariant |
L |
4.1290646535384 |
L(r)(E,1)/r! |
Ω |
0.20954111046589 |
Real period |
R |
9.8526362108703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999715528 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91575e1 18315f1 |
Quadratic twists by: -3 5 |