Atkin-Lehner |
2+ 3+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83490h |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
19353600 |
Modular degree for the optimal curve |
Δ |
-2.310030634969E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12397057,231846496501] |
[a1,a2,a3,a4,a6] |
Generators |
[-6453:211039:1] |
Generators of the group modulo torsion |
j |
-118938771937643854321/13039520710656000000 |
j-invariant |
L |
4.5994576135728 |
L(r)(E,1)/r! |
Ω |
0.055499453388432 |
Real period |
R |
6.9061605277057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004278 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7590r1 |
Quadratic twists by: -11 |