Atkin-Lehner |
2- 5+ 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
30940b |
Isogeny class |
Conductor |
30940 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-126836247865600 = -1 · 28 · 52 · 74 · 134 · 172 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -6 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8017,466118] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:490:1] |
Generators of the group modulo torsion |
j |
222597046474416/495454093225 |
j-invariant |
L |
3.3447498255889 |
L(r)(E,1)/r! |
Ω |
0.40747123519971 |
Real period |
R |
2.0521386153488 |
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 |
123760bc2 |
Quadratic twists by: -4 |