Atkin-Lehner |
5+ 37+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
49025a |
Isogeny class |
Conductor |
49025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14592 |
Modular degree for the optimal curve |
Δ |
30640625 = 56 · 37 · 53 |
Discriminant |
Eigenvalues |
-1 0 5+ 0 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1030,12972] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:140:1] |
Generators of the group modulo torsion |
j |
7727161833/1961 |
j-invariant |
L |
3.7550855744852 |
L(r)(E,1)/r! |
Ω |
2.037092482162 |
Real period |
R |
1.8433554722546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1961a1 |
Quadratic twists by: 5 |