Atkin-Lehner |
2+ 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
103600v |
Isogeny class |
Conductor |
103600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
348160 |
Modular degree for the optimal curve |
Δ |
-4791500000000 = -1 · 28 · 59 · 7 · 372 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- -3 -5 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-114833,14939963] |
[a1,a2,a3,a4,a6] |
Generators |
[158:875:1] |
Generators of the group modulo torsion |
j |
-334932755456/9583 |
j-invariant |
L |
6.2445021033039 |
L(r)(E,1)/r! |
Ω |
0.71694945354193 |
Real period |
R |
2.1774554944218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999352 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51800w1 103600s1 |
Quadratic twists by: -4 5 |