Atkin-Lehner |
2- 5+ 37+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
98050l |
Isogeny class |
Conductor |
98050 |
Conductor |
∏ cp |
17 |
Product of Tamagawa factors cp |
deg |
987768 |
Modular degree for the optimal curve |
Δ |
-24710567300300800 = -1 · 217 · 52 · 373 · 533 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 0 1 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-326013,71909651] |
[a1,a2,a3,a4,a6] |
j |
-153281076337989765625/988422692012032 |
j-invariant |
L |
6.4609270548811 |
L(r)(E,1)/r! |
Ω |
0.38005452498952 |
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 |
98050h1 |
Quadratic twists by: 5 |