Atkin-Lehner |
3+ 5- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
98325p |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
185472 |
Modular degree for the optimal curve |
Δ |
-568772269875 = -1 · 39 · 53 · 19 · 233 |
Discriminant |
Eigenvalues |
2 3+ 5- -4 -1 -5 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-945,-37969] |
[a1,a2,a3,a4,a6] |
Generators |
[6084:54697:64] |
Generators of the group modulo torsion |
j |
-37933056/231173 |
j-invariant |
L |
9.0878863480528 |
L(r)(E,1)/r! |
Ω |
0.38482987142006 |
Real period |
R |
5.9038337564281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007225 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98325v1 98325u1 |
Quadratic twists by: -3 5 |