Atkin-Lehner |
2+ 3+ 7+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
17094c |
Isogeny class |
Conductor |
17094 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-5.8612368929785E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,761051,265596685] |
[a1,a2,a3,a4,a6] |
Generators |
[22687599810:11803691800991:693154125] |
Generators of the group modulo torsion |
j |
48748819502111004796967/58612368929785380864 |
j-invariant |
L |
3.2945580862212 |
L(r)(E,1)/r! |
Ω |
0.13229972522529 |
Real period |
R |
12.451114621028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51282bf1 119658bx1 |
Quadratic twists by: -3 -7 |