Atkin-Lehner |
2+ 3+ 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
102480d |
Isogeny class |
Conductor |
102480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
678400 |
Modular degree for the optimal curve |
Δ |
-387447226387200 = -1 · 28 · 310 · 52 · 75 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 6 -6 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-101081,-12372075] |
[a1,a2,a3,a4,a6] |
j |
-446166165132012544/1513465728075 |
j-invariant |
L |
2.1415760644157 |
L(r)(E,1)/r! |
Ω |
0.13384853312184 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51240i1 |
Quadratic twists by: -4 |