Atkin-Lehner |
2+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
74480q |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-885713249321600000 = -1 · 210 · 55 · 79 · 193 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- -4 -4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-412400,111402500] |
[a1,a2,a3,a4,a6] |
Generators |
[800:17150:1] |
Generators of the group modulo torsion |
j |
-187714758172/21434375 |
j-invariant |
L |
6.6029032963777 |
L(r)(E,1)/r! |
Ω |
0.27281284629561 |
Real period |
R |
1.2101525617125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000187 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37240t1 74480k1 |
Quadratic twists by: -4 -7 |