Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
74480cr |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-251238328893440 = -1 · 216 · 5 · 79 · 19 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 0 4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-269320,53711860] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:7546:1] |
Generators of the group modulo torsion |
j |
-4483146738169/521360 |
j-invariant |
L |
8.3423233863798 |
L(r)(E,1)/r! |
Ω |
0.53257298831306 |
Real period |
R |
1.958023493862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998483 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9310h1 10640j1 |
Quadratic twists by: -4 -7 |