Atkin-Lehner |
2+ 3+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
94302c |
Isogeny class |
Conductor |
94302 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-61719370791866892 = -1 · 22 · 39 · 138 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 -2 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,59034,-10616176] |
[a1,a2,a3,a4,a6] |
Generators |
[530:12748:1] |
Generators of the group modulo torsion |
j |
239483061/649636 |
j-invariant |
L |
5.2316674914442 |
L(r)(E,1)/r! |
Ω |
0.18016480349381 |
Real period |
R |
3.6297790868547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94302bj2 7254k2 |
Quadratic twists by: -3 13 |