Atkin-Lehner |
2+ 3- 7+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30954h |
Isogeny class |
Conductor |
30954 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
1320952292352 = 210 · 36 · 74 · 11 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10671,419746] |
[a1,a2,a3,a4,a6] |
Generators |
[23:420:1] |
Generators of the group modulo torsion |
j |
134363270495931625/1320952292352 |
j-invariant |
L |
4.7889964942695 |
L(r)(E,1)/r! |
Ω |
0.86194813602067 |
Real period |
R |
0.92600244611367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92862bh1 |
Quadratic twists by: -3 |