Atkin-Lehner |
2- 3+ 5- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
108150cf |
Isogeny class |
Conductor |
108150 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
2880768 |
Modular degree for the optimal curve |
Δ |
6897253829050368000 = 222 · 311 · 53 · 7 · 1032 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 2 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-480743,-22434019] |
[a1,a2,a3,a4,a6] |
Generators |
[-565:8602:1] |
Generators of the group modulo torsion |
j |
98299806611681557637/55178030632402944 |
j-invariant |
L |
10.544293520502 |
L(r)(E,1)/r! |
Ω |
0.19497584563396 |
Real period |
R |
2.4581817754698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999732832 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108150bs1 |
Quadratic twists by: 5 |