Atkin-Lehner |
3+ 7+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
94017b |
Isogeny class |
Conductor |
94017 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
137280 |
Modular degree for the optimal curve |
Δ |
-37165578219 = -1 · 34 · 7 · 116 · 37 |
Discriminant |
Eigenvalues |
0 3+ 3 7+ 11- 1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-20489,1135727] |
[a1,a2,a3,a4,a6] |
j |
-536971313152/20979 |
j-invariant |
L |
2.1666753745221 |
L(r)(E,1)/r! |
Ω |
1.0833377156811 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
777c1 |
Quadratic twists by: -11 |