Atkin-Lehner |
2+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
1850f |
Isogeny class |
Conductor |
1850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
1212416000 = 218 · 53 · 37 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 0 -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-857,-9299] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:11:1] |
Generators of the group modulo torsion |
j |
557238592989/9699328 |
j-invariant |
L |
2.2592462496032 |
L(r)(E,1)/r! |
Ω |
0.88326137766168 |
Real period |
R |
2.5578456238903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14800bh1 59200bm1 16650cr1 1850o1 |
Quadratic twists by: -4 8 -3 5 |