Atkin-Lehner |
2- 3+ 5+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18870r |
Isogeny class |
Conductor |
18870 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-2240208070312500000 = -1 · 25 · 32 · 512 · 17 · 374 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-419526,-127157277] |
[a1,a2,a3,a4,a6] |
Generators |
[837:10019:1] |
Generators of the group modulo torsion |
j |
-8165831622679000849249/2240208070312500000 |
j-invariant |
L |
5.8088726635358 |
L(r)(E,1)/r! |
Ω |
0.092474868936279 |
Real period |
R |
6.2815689606854 |
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 |
56610f3 94350m3 |
Quadratic twists by: -3 5 |