Atkin-Lehner |
2- 3+ 5- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
63630bc |
Isogeny class |
Conductor |
63630 |
Conductor |
∏ cp |
1400 |
Product of Tamagawa factors cp |
deg |
6988800 |
Modular degree for the optimal curve |
Δ |
1.7278029098911E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-29659907,62177335939] |
[a1,a2,a3,a4,a6] |
Generators |
[2947:-20374:1] |
Generators of the group modulo torsion |
j |
146602629759903038069067/8778148198400000 |
j-invariant |
L |
10.031820668501 |
L(r)(E,1)/r! |
Ω |
0.17123606512438 |
Real period |
R |
0.16738497667326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000238 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63630a1 |
Quadratic twists by: -3 |