Atkin-Lehner |
2- 3- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
98022t |
Isogeny class |
Conductor |
98022 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
423360 |
Modular degree for the optimal curve |
Δ |
-308350550016 = -1 · 221 · 32 · 17 · 312 |
Discriminant |
Eigenvalues |
2- 3- 1 4 -4 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-78450,-8463996] |
[a1,a2,a3,a4,a6] |
Generators |
[516:9150:1] |
Generators of the group modulo torsion |
j |
-55562210338873441/320864256 |
j-invariant |
L |
16.38339150595 |
L(r)(E,1)/r! |
Ω |
0.14263336977451 |
Real period |
R |
2.7348491477287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009643 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98022m1 |
Quadratic twists by: -31 |