Atkin-Lehner |
2+ 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11970u |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-19459657728000 = -1 · 215 · 36 · 53 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 3 -7 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14715,-715419] |
[a1,a2,a3,a4,a6] |
j |
-483385461758641/26693632000 |
j-invariant |
L |
1.2962483225704 |
L(r)(E,1)/r! |
Ω |
0.21604138709506 |
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 |
95760dc1 1330j1 59850es1 83790bw1 |
Quadratic twists by: -4 -3 5 -7 |