Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350bm |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
23328000 |
Modular degree for the optimal curve |
Δ |
-1.0021058869204E+25 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ 11- -2 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1560054576,-23717512403202] |
[a1,a2,a3,a4,a6] |
Generators |
[247653238587563894001:-82858627470621091595957:1972737155886713] |
Generators of the group modulo torsion |
j |
-606773969327363726065/14480963796992 |
j-invariant |
L |
3.9958301535091 |
L(r)(E,1)/r! |
Ω |
0.012011133367375 |
Real period |
R |
27.723099556136 |
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 |
42350cj1 3850y1 |
Quadratic twists by: 5 -11 |