Atkin-Lehner |
2- 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
11970bd |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-9552060 = -1 · 22 · 33 · 5 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23,-149] |
[a1,a2,a3,a4,a6] |
Generators |
[31:152:1] |
Generators of the group modulo torsion |
j |
-47832147/353780 |
j-invariant |
L |
6.4710325577729 |
L(r)(E,1)/r! |
Ω |
0.96774943849516 |
Real period |
R |
1.6716704501103 |
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 |
95760cb1 11970g1 59850s1 83790db1 |
Quadratic twists by: -4 -3 5 -7 |