Atkin-Lehner |
2- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98800be |
Isogeny class |
Conductor |
98800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-30756044800 = -1 · 218 · 52 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 5 13+ 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1115,-16630] |
[a1,a2,a3,a4,a6] |
j |
-1497091545/300352 |
j-invariant |
L |
1.634719517208 |
L(r)(E,1)/r! |
Ω |
0.40867988206759 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12350m1 98800cu1 |
Quadratic twists by: -4 5 |