Atkin-Lehner |
2+ 7- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
78302d |
Isogeny class |
Conductor |
78302 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
958464 |
Modular degree for the optimal curve |
Δ |
750692138919919616 = 226 · 77 · 172 · 47 |
Discriminant |
Eigenvalues |
2+ -2 2 7- 2 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-230865,9211556] |
[a1,a2,a3,a4,a6] |
j |
11566635758883577/6380777897984 |
j-invariant |
L |
0.98790035439419 |
L(r)(E,1)/r! |
Ω |
0.24697508969906 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11186b1 |
Quadratic twists by: -7 |