Atkin-Lehner |
2+ 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
66600b |
Isogeny class |
Conductor |
66600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-126505867500000000 = -1 · 28 · 33 · 510 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 0 3 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-247500,-50387500] |
[a1,a2,a3,a4,a6] |
Generators |
[10294:1043178:1] |
Generators of the group modulo torsion |
j |
-24839654400/1874161 |
j-invariant |
L |
7.2298831757985 |
L(r)(E,1)/r! |
Ω |
0.10656077751707 |
Real period |
R |
4.2404692329539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997041 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66600ba1 66600bf1 |
Quadratic twists by: -3 5 |