Atkin-Lehner |
3- 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
91575bd |
Isogeny class |
Conductor |
91575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
-375514734375 = -1 · 310 · 56 · 11 · 37 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1233,24016] |
[a1,a2,a3,a4,a6] |
Generators |
[785608:30381121:512] |
Generators of the group modulo torsion |
j |
18191447/32967 |
j-invariant |
L |
10.082586811305 |
L(r)(E,1)/r! |
Ω |
0.65460326818386 |
Real period |
R |
7.7012957985212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001327 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30525d1 3663e1 |
Quadratic twists by: -3 5 |