Atkin-Lehner |
2- 3+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
34122r |
Isogeny class |
Conductor |
34122 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-574509239016768 = -1 · 26 · 34 · 119 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -4 3 11- 1 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-27530,-2114089] |
[a1,a2,a3,a4,a6] |
Generators |
[237:2059:1] |
Generators of the group modulo torsion |
j |
-1302528459961/324295488 |
j-invariant |
L |
6.1449089612296 |
L(r)(E,1)/r! |
Ω |
0.18292062513158 |
Real period |
R |
1.3997211807057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102366w1 3102b1 |
Quadratic twists by: -3 -11 |