Atkin-Lehner |
2- 3+ 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
127794be |
Isogeny class |
Conductor |
127794 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-4046980775382 = -1 · 2 · 36 · 196 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 3 -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3422,60005] |
[a1,a2,a3,a4,a6] |
Generators |
[-122:597:8] [1390:18795:8] |
Generators of the group modulo torsion |
j |
94196375/86022 |
j-invariant |
L |
15.285462683966 |
L(r)(E,1)/r! |
Ω |
0.51066344651305 |
Real period |
R |
7.4831392347086 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999964885 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
354b1 |
Quadratic twists by: -19 |