Atkin-Lehner |
2+ 3+ 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
108150r |
Isogeny class |
Conductor |
108150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-179610450468750 = -1 · 2 · 313 · 57 · 7 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 -2 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-23625,-1549125] |
[a1,a2,a3,a4,a6] |
Generators |
[395:6940:1] |
Generators of the group modulo torsion |
j |
-93335715380881/11495068830 |
j-invariant |
L |
3.1928151453541 |
L(r)(E,1)/r! |
Ω |
0.19122268023773 |
Real period |
R |
4.1742108375747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026311 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21630bc1 |
Quadratic twists by: 5 |