Atkin-Lehner |
2+ 3- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37536j |
Isogeny class |
Conductor |
37536 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
-628600802807808 = -1 · 212 · 310 · 173 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -4 -6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,18751,697935] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:612:1] |
Generators of the group modulo torsion |
j |
177997500675008/153466992873 |
j-invariant |
L |
3.5841124125268 |
L(r)(E,1)/r! |
Ω |
0.33343321490268 |
Real period |
R |
0.17915193869593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37536t2 75072s1 112608bf2 |
Quadratic twists by: -4 8 -3 |