Atkin-Lehner |
3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62475bg |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-16136985005859375 = -1 · 35 · 59 · 76 · 172 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 6 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3700,6110875] |
[a1,a2,a3,a4,a6] |
Generators |
[-65010:8419541:3375] |
Generators of the group modulo torsion |
j |
-24389/70227 |
j-invariant |
L |
5.7541117027205 |
L(r)(E,1)/r! |
Ω |
0.31462751117002 |
Real period |
R |
9.1443238404614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000359 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62475cv1 1275g1 |
Quadratic twists by: 5 -7 |