Atkin-Lehner |
2- 3+ 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
102480z |
Isogeny class |
Conductor |
102480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-66640792780800 = -1 · 219 · 35 · 52 · 73 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -1 -5 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7376,-459840] |
[a1,a2,a3,a4,a6] |
Generators |
[298:4870:1] |
Generators of the group modulo torsion |
j |
-10836408452689/16269724800 |
j-invariant |
L |
4.2774223054911 |
L(r)(E,1)/r! |
Ω |
0.24451260709526 |
Real period |
R |
4.3734169307932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006639 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12810u1 |
Quadratic twists by: -4 |