Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
2940a |
Isogeny class |
Conductor |
2940 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-8965418515200 = -1 · 28 · 35 · 52 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 7 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23781,-1410975] |
[a1,a2,a3,a4,a6] |
j |
-1007878144/6075 |
j-invariant |
L |
1.1529362445518 |
L(r)(E,1)/r! |
Ω |
0.19215604075863 |
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 |
11760cc1 47040cz1 8820u1 14700bb1 |
Quadratic twists by: -4 8 -3 5 |