Atkin-Lehner |
2- 5+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
70300b |
Isogeny class |
Conductor |
70300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
33392500000000 = 28 · 510 · 192 · 37 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 5 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-68133,-6816863] |
[a1,a2,a3,a4,a6] |
Generators |
[-153:50:1] |
Generators of the group modulo torsion |
j |
8744654012416/8348125 |
j-invariant |
L |
5.3338354780637 |
L(r)(E,1)/r! |
Ω |
0.29551840671986 |
Real period |
R |
1.5040900320287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000232 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14060a1 |
Quadratic twists by: 5 |