Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30576ct |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
136 |
Product of Tamagawa factors cp |
deg |
293760 |
Modular degree for the optimal curve |
Δ |
-140169666861858816 = -1 · 217 · 317 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 1 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22640,18053076] |
[a1,a2,a3,a4,a6] |
Generators |
[370:-7776:1] |
Generators of the group modulo torsion |
j |
-6394640503489/698390001504 |
j-invariant |
L |
7.8518878395072 |
L(r)(E,1)/r! |
Ω |
0.26856757031895 |
Real period |
R |
0.21497185732282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3822u1 122304fc1 91728fj1 30576bh1 |
Quadratic twists by: -4 8 -3 -7 |