Atkin-Lehner |
2- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
98192s |
Isogeny class |
Conductor |
98192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3628800 |
Modular degree for the optimal curve |
Δ |
-5198520507274539008 = -1 · 212 · 175 · 197 |
Discriminant |
Eigenvalues |
2- 3 -2 -4 2 -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-265696,121706096] |
[a1,a2,a3,a4,a6] |
Generators |
[6018003:163560797:19683] |
Generators of the group modulo torsion |
j |
-10764582912/26977283 |
j-invariant |
L |
8.1347525815682 |
L(r)(E,1)/r! |
Ω |
0.21405576685056 |
Real period |
R |
9.5007398070089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001746 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6137a1 5168e1 |
Quadratic twists by: -4 -19 |