Atkin-Lehner |
2+ 3+ 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
98490f |
Isogeny class |
Conductor |
98490 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
5455872 |
Modular degree for the optimal curve |
Δ |
-2.0356962377591E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2209113,-2512777707] |
[a1,a2,a3,a4,a6] |
Generators |
[1949:23313:1] |
Generators of the group modulo torsion |
j |
-3476031419581622825743/5934974454108090000 |
j-invariant |
L |
4.0479186515499 |
L(r)(E,1)/r! |
Ω |
0.058516504117657 |
Real period |
R |
2.8823197753219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008709 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98490z1 |
Quadratic twists by: -7 |