Atkin-Lehner |
3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
30345h |
Isogeny class |
Conductor |
30345 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1292544 |
Modular degree for the optimal curve |
Δ |
1.4657949590411E+20 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- 3 4 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3034596,1950545567] |
[a1,a2,a3,a4,a6] |
Generators |
[4260:2676397:64] |
Generators of the group modulo torsion |
j |
443032031678464/21012699645 |
j-invariant |
L |
9.5785770344713 |
L(r)(E,1)/r! |
Ω |
0.18112360519048 |
Real period |
R |
1.1017541750468 |
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 |
91035bz1 30345bh1 |
Quadratic twists by: -3 17 |