Atkin-Lehner |
2+ 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
115150be |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2006400 |
Modular degree for the optimal curve |
Δ |
43199242187500 = 22 · 59 · 76 · 47 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- -3 -1 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4750575,3983379625] |
[a1,a2,a3,a4,a6] |
Generators |
[1260:-755:1] [-615:81995:1] |
Generators of the group modulo torsion |
j |
51599335959989/188 |
j-invariant |
L |
6.7197544489333 |
L(r)(E,1)/r! |
Ω |
0.42866435653449 |
Real period |
R |
3.9190069982518 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999944852 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115150ct1 2350e1 |
Quadratic twists by: 5 -7 |