Atkin-Lehner |
5+ 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
98735f |
Isogeny class |
Conductor |
98735 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-294939379287109375 = -1 · 510 · 78 · 132 · 31 |
Discriminant |
Eigenvalues |
1 -2 5+ 7- -6 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-351944,84475017] |
[a1,a2,a3,a4,a6] |
j |
-40978343181583081/2506943359375 |
j-invariant |
L |
1.2118064691023 |
L(r)(E,1)/r! |
Ω |
0.30295151710252 |
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 |
14105b1 |
Quadratic twists by: -7 |