Atkin-Lehner |
2- 11- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116402z |
Isogeny class |
Conductor |
116402 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
363264 |
Modular degree for the optimal curve |
Δ |
15259780020628 = 22 · 118 · 13 · 372 |
Discriminant |
Eigenvalues |
2- -1 0 2 11- 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-84158,-9430233] |
[a1,a2,a3,a4,a6] |
Generators |
[-36390:27041:216] |
Generators of the group modulo torsion |
j |
307516746625/71188 |
j-invariant |
L |
7.9638109731062 |
L(r)(E,1)/r! |
Ω |
0.28030555810399 |
Real period |
R |
2.3675981097484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000073932 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116402q1 |
Quadratic twists by: -11 |