Atkin-Lehner |
2- 5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
49300d |
Isogeny class |
Conductor |
49300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
458640 |
Modular degree for the optimal curve |
Δ |
1859347112031250000 = 24 · 510 · 177 · 29 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 3 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-313333,-15812338] |
[a1,a2,a3,a4,a6] |
Generators |
[-337:7169:1] |
Generators of the group modulo torsion |
j |
21773261209600/11899821517 |
j-invariant |
L |
3.9010975183506 |
L(r)(E,1)/r! |
Ω |
0.21549743457963 |
Real period |
R |
6.0342520641886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000083 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49300t1 |
Quadratic twists by: 5 |