Atkin-Lehner |
5- 7+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
90475h |
Isogeny class |
Conductor |
90475 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
662400 |
Modular degree for the optimal curve |
Δ |
57046759270703125 = 58 · 710 · 11 · 47 |
Discriminant |
Eigenvalues |
1 1 5- 7+ 11- 3 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-99576,-3778827] |
[a1,a2,a3,a4,a6] |
Generators |
[-2034:19113:8] |
Generators of the group modulo torsion |
j |
279525502890265/146039703733 |
j-invariant |
L |
8.8816612678444 |
L(r)(E,1)/r! |
Ω |
0.28472293622311 |
Real period |
R |
5.1990081832614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017483 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90475f1 |
Quadratic twists by: 5 |