Atkin-Lehner |
2+ 3- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74958l |
Isogeny class |
Conductor |
74958 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
13392000 |
Modular degree for the optimal curve |
Δ |
-2.0838487614982E+25 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 -1 13- 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,37353569,201288735794] |
[a1,a2,a3,a4,a6] |
Generators |
[3367:602660:1] |
Generators of the group modulo torsion |
j |
6758129171780375/24432766555392 |
j-invariant |
L |
5.8492186733529 |
L(r)(E,1)/r! |
Ω |
0.048427567976077 |
Real period |
R |
3.3550785886041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004144 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74958b1 |
Quadratic twists by: -31 |