Atkin-Lehner |
2+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
22990g |
Isogeny class |
Conductor |
22990 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
364800 |
Modular degree for the optimal curve |
Δ |
-21353299910328320 = -1 · 220 · 5 · 118 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 11- -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-454075,118094565] |
[a1,a2,a3,a4,a6] |
Generators |
[246:4485:1] |
Generators of the group modulo torsion |
j |
-5844547788286689/12053381120 |
j-invariant |
L |
1.8345154650313 |
L(r)(E,1)/r! |
Ω |
0.38320406369207 |
Real period |
R |
2.3936534588859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114950cr1 2090j1 |
Quadratic twists by: 5 -11 |