Atkin-Lehner |
2- 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
49200bw |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-113356800 = -1 · 212 · 33 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -3 -2 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,72,432] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:8:1] |
Generators of the group modulo torsion |
j |
397535/1107 |
j-invariant |
L |
5.7335019214808 |
L(r)(E,1)/r! |
Ω |
1.3148754959793 |
Real period |
R |
1.0901225893645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3075k1 49200ea1 |
Quadratic twists by: -4 5 |