Atkin-Lehner |
2- 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
66600be |
Isogeny class |
Conductor |
66600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-683815500000000 = -1 · 28 · 33 · 59 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -2 7 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19500,-1637500] |
[a1,a2,a3,a4,a6] |
Generators |
[184:1002:1] |
Generators of the group modulo torsion |
j |
-60742656/50653 |
j-invariant |
L |
6.8204358728316 |
L(r)(E,1)/r! |
Ω |
0.19511384129451 |
Real period |
R |
4.369523343214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998056 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66600f1 66600i1 |
Quadratic twists by: -3 5 |