Atkin-Lehner |
2+ 3+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
53802g |
Isogeny class |
Conductor |
53802 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-282513602574 = -1 · 2 · 39 · 76 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- -6 6 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3390,-79318] |
[a1,a2,a3,a4,a6] |
Generators |
[751:20131:1] |
Generators of the group modulo torsion |
j |
-1860867/122 |
j-invariant |
L |
3.8289184091376 |
L(r)(E,1)/r! |
Ω |
0.3116535253583 |
Real period |
R |
3.0714544338899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998458 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53802bm1 1098a1 |
Quadratic twists by: -3 -7 |