Atkin-Lehner |
3+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
49011b |
Isogeny class |
Conductor |
49011 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-107187057 = -1 · 38 · 17 · 312 |
Discriminant |
Eigenvalues |
1 3+ 2 -1 3 1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-314,2073] |
[a1,a2,a3,a4,a6] |
Generators |
[56:377:1] |
Generators of the group modulo torsion |
j |
-3580540393/111537 |
j-invariant |
L |
6.9247584920639 |
L(r)(E,1)/r! |
Ω |
1.8729205254119 |
Real period |
R |
1.8486525183882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999664 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49011e1 |
Quadratic twists by: -31 |