Atkin-Lehner |
2- 5- 19+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
120080h |
Isogeny class |
Conductor |
120080 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
573696 |
Modular degree for the optimal curve |
Δ |
-5479298432000000 = -1 · 213 · 56 · 193 · 792 |
Discriminant |
Eigenvalues |
2- -1 5- 1 -6 -1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,25800,-3192848] |
[a1,a2,a3,a4,a6] |
Generators |
[234:-3950:1] |
Generators of the group modulo torsion |
j |
463666851952199/1337719343750 |
j-invariant |
L |
4.4000073933019 |
L(r)(E,1)/r! |
Ω |
0.21989815197352 |
Real period |
R |
0.83372070677598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999293901 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15010c1 |
Quadratic twists by: -4 |