Atkin-Lehner |
2- 3+ 5- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23370l |
Isogeny class |
Conductor |
23370 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
896448 |
Modular degree for the optimal curve |
Δ |
-2.2917980095698E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 2 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3359440,-2382566203] |
[a1,a2,a3,a4,a6] |
Generators |
[45277:9603691:1] |
Generators of the group modulo torsion |
j |
-4192995410466752984290561/22917980095697812500 |
j-invariant |
L |
7.0368706228636 |
L(r)(E,1)/r! |
Ω |
0.055739221782508 |
Real period |
R |
9.0175929954688 |
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 |
70110j1 116850w1 |
Quadratic twists by: -3 5 |