Atkin-Lehner |
3- 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
98553t |
Isogeny class |
Conductor |
98553 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
667584 |
Modular degree for the optimal curve |
Δ |
-35149402855973133 = -1 · 32 · 72 · 13 · 1910 |
Discriminant |
Eigenvalues |
1 3- 0 7+ -5 13+ -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-67876,11294411] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:4234:1] |
Generators of the group modulo torsion |
j |
-5640625/5733 |
j-invariant |
L |
6.6871001356941 |
L(r)(E,1)/r! |
Ω |
0.33408126913739 |
Real period |
R |
5.0040968524161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039371 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98553f1 |
Quadratic twists by: -19 |