Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
98568s |
Isogeny class |
Conductor |
98568 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1193472 |
Modular degree for the optimal curve |
Δ |
-1966538896825658112 = -1 · 28 · 37 · 378 |
Discriminant |
Eigenvalues |
2- 3- 2 3 4 1 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-151959,-71218118] |
[a1,a2,a3,a4,a6] |
Generators |
[39701:7910082:1] |
Generators of the group modulo torsion |
j |
-592/3 |
j-invariant |
L |
9.991717983989 |
L(r)(E,1)/r! |
Ω |
0.10907854391896 |
Real period |
R |
3.8167137872734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004684 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32856g1 98568h1 |
Quadratic twists by: -3 37 |