Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
2352h |
Isogeny class |
Conductor |
2352 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
-24385536 = -1 · 211 · 35 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -3 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,40,-204] |
[a1,a2,a3,a4,a6] |
Generators |
[10:36:1] |
Generators of the group modulo torsion |
j |
68782/243 |
j-invariant |
L |
3.7409148046129 |
L(r)(E,1)/r! |
Ω |
1.0834611604519 |
Real period |
R |
0.17263723616324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1176b1 9408by1 7056t1 58800bc1 |
Quadratic twists by: -4 8 -3 5 |