Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
76440bn |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
270 |
Product of Tamagawa factors cp |
deg |
388800 |
Modular degree for the optimal curve |
Δ |
-716199691662000 = -1 · 24 · 39 · 53 · 72 · 135 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 3 13- 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6715,1302650] |
[a1,a2,a3,a4,a6] |
Generators |
[185:-2535:1] |
Generators of the group modulo torsion |
j |
-42717947152384/913520014875 |
j-invariant |
L |
9.4913613846905 |
L(r)(E,1)/r! |
Ω |
0.42656303838986 |
Real period |
R |
0.08241030550292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001054 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76440c1 |
Quadratic twists by: -7 |