Atkin-Lehner |
2+ 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
91350bt |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-70483248360000000 = -1 · 29 · 311 · 57 · 73 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -1 -6 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-195417,-35570259] |
[a1,a2,a3,a4,a6] |
Generators |
[1149:34863:1] |
Generators of the group modulo torsion |
j |
-72454344765769/6187829760 |
j-invariant |
L |
5.0733855607408 |
L(r)(E,1)/r! |
Ω |
0.11298345320315 |
Real period |
R |
1.8709913629165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969385 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30450cu1 18270bu1 |
Quadratic twists by: -3 5 |