Atkin-Lehner |
2- 3+ 5+ 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
122130bg |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
1751040 |
Modular degree for the optimal curve |
Δ |
-1337357594787840000 = -1 · 224 · 33 · 54 · 23 · 593 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,192832,45045731] |
[a1,a2,a3,a4,a6] |
Generators |
[322355:13535807:1331] |
Generators of the group modulo torsion |
j |
29369690936032550013/49531762769920000 |
j-invariant |
L |
12.554016798955 |
L(r)(E,1)/r! |
Ω |
0.18543133594774 |
Real period |
R |
8.4627125800683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002584 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
122130g3 |
Quadratic twists by: -3 |