Atkin-Lehner |
5+ 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
51205b |
Isogeny class |
Conductor |
51205 |
Conductor |
∏ cp |
105 |
Product of Tamagawa factors cp |
deg |
15264480 |
Modular degree for the optimal curve |
Δ |
4.1494731324986E+21 |
Discriminant |
Eigenvalues |
0 3 5+ 7+ 11- -4 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-266928088,-1678567409591] |
[a1,a2,a3,a4,a6] |
Generators |
[-254751:44209:27] |
Generators of the group modulo torsion |
j |
364856610214409586868224/719794687188445 |
j-invariant |
L |
7.9310484001551 |
L(r)(E,1)/r! |
Ω |
0.037350897095252 |
Real period |
R |
2.0222752373069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51205r1 |
Quadratic twists by: -7 |